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Finding the Fourth Proportional to 53,965.50, 74,472.39 and 31,609.50

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Solution

The fourth proportional to 53,965.50, 74,472.39 and 31,609.50 is: 43,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,965.50 : 74,472.39 = 31,609.50 : x
  2. Step 2: Convert to fraction form
    53,965.50/74,472.39 = 31,609.50/x
  3. Step 3: Cross multiply
    53,965.50x = 74,472.39 × 31,609.50
  4. Step 4: Simplify right side
    53,965.50x = 2,354,035,011.71
  5. Step 5: Solve for x
    x = 2,354,035,011.71/53,965.50
  6. Step 6: Final answer
    x = 43,621.11

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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.