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Finding the Fourth Proportional to 27,482,821.60, 41,239,978.80 and 10,455,714.40

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Solution

The fourth proportional to 27,482,821.60, 41,239,978.80 and 10,455,714.40 is: 15,689,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482,821.60 : 41,239,978.80 = 10,455,714.40 : x
  2. Step 2: Convert to fraction form
    27,482,821.60/41,239,978.80 = 10,455,714.40/x
  3. Step 3: Cross multiply
    27,482,821.60x = 41,239,978.80 × 10,455,714.40
  4. Step 4: Simplify right side
    27,482,821.60x = 431,193,440,194,854.69
  5. Step 5: Solve for x
    x = 431,193,440,194,854.69/27,482,821.60
  6. Step 6: Final answer
    x = 15,689,562.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.