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Finding the Fourth Proportional to 42,318.92, 58,393.96 and 23,456

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Solution

The fourth proportional to 42,318.92, 58,393.96 and 23,456 is: 32,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,318.92 : 58,393.96 = 23,456 : x
  2. Step 2: Convert to fraction form
    42,318.92/58,393.96 = 23,456/x
  3. Step 3: Cross multiply
    42,318.92x = 58,393.96 × 23,456
  4. Step 4: Simplify right side
    42,318.92x = 1,369,688,725.76
  5. Step 5: Solve for x
    x = 1,369,688,725.76/42,318.92
  6. Step 6: Final answer
    x = 32,365.87

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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.