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Finding the Fourth Proportional to 53,988, 74,513.52 and 31,632

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Solution

The fourth proportional to 53,988, 74,513.52 and 31,632 is: 43,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,988 : 74,513.52 = 31,632 : x
  2. Step 2: Convert to fraction form
    53,988/74,513.52 = 31,632/x
  3. Step 3: Cross multiply
    53,988x = 74,513.52 × 31,632
  4. Step 4: Simplify right side
    53,988x = 2,357,011,664.64
  5. Step 5: Solve for x
    x = 2,357,011,664.64/53,988
  6. Step 6: Final answer
    x = 43,658.07

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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.