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Finding the Fourth Proportional to 53,877.32, 74,349.54 and 29,678.96

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Solution

The fourth proportional to 53,877.32, 74,349.54 and 29,678.96 is: 40,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,877.32 : 74,349.54 = 29,678.96 : x
  2. Step 2: Convert to fraction form
    53,877.32/74,349.54 = 29,678.96/x
  3. Step 3: Cross multiply
    53,877.32x = 74,349.54 × 29,678.96
  4. Step 4: Simplify right side
    53,877.32x = 2,206,617,023.68
  5. Step 5: Solve for x
    x = 2,206,617,023.68/53,877.32
  6. Step 6: Final answer
    x = 40,956.32

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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.