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Finding the Fourth Proportional to 42,502.92, 58,656.24 and 23,640

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Solution

The fourth proportional to 42,502.92, 58,656.24 and 23,640 is: 32,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,502.92 : 58,656.24 = 23,640 : x
  2. Step 2: Convert to fraction form
    42,502.92/58,656.24 = 23,640/x
  3. Step 3: Cross multiply
    42,502.92x = 58,656.24 × 23,640
  4. Step 4: Simplify right side
    42,502.92x = 1,386,633,513.60
  5. Step 5: Solve for x
    x = 1,386,633,513.60/42,502.92
  6. Step 6: Final answer
    x = 32,624.43

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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.