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Finding the Fourth Proportional to 48,714.20, 72,917.70 and 47,178.20

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Solution

The fourth proportional to 48,714.20, 72,917.70 and 47,178.20 is: 70,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,714.20 : 72,917.70 = 47,178.20 : x
  2. Step 2: Convert to fraction form
    48,714.20/72,917.70 = 47,178.20/x
  3. Step 3: Cross multiply
    48,714.20x = 72,917.70 × 47,178.20
  4. Step 4: Simplify right side
    48,714.20x = 3,440,125,834.14
  5. Step 5: Solve for x
    x = 3,440,125,834.14/48,714.20
  6. Step 6: Final answer
    x = 70,618.54

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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.