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Finding the Fourth Proportional to 53,842.20, 74,302.16 and 29,970.96

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Solution

The fourth proportional to 53,842.20, 74,302.16 and 29,970.96 is: 41,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.20 : 74,302.16 = 29,970.96 : x
  2. Step 2: Convert to fraction form
    53,842.20/74,302.16 = 29,970.96/x
  3. Step 3: Cross multiply
    53,842.20x = 74,302.16 × 29,970.96
  4. Step 4: Simplify right side
    53,842.20x = 2,226,906,915.42
  5. Step 5: Solve for x
    x = 2,226,906,915.42/53,842.20
  6. Step 6: Final answer
    x = 41,359.88

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