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Finding the Fourth Proportional to 53,690, 74,093.20 and 29,818.88

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Solution

The fourth proportional to 53,690, 74,093.20 and 29,818.88 is: 41,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,690 : 74,093.20 = 29,818.88 : x
  2. Step 2: Convert to fraction form
    53,690/74,093.20 = 29,818.88/x
  3. Step 3: Cross multiply
    53,690x = 74,093.20 × 29,818.88
  4. Step 4: Simplify right side
    53,690x = 2,209,376,239.62
  5. Step 5: Solve for x
    x = 2,209,376,239.62/53,690
  6. Step 6: Final answer
    x = 41,150.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.