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Finding the Fourth Proportional to 42,152.72, 58,152.48 and 25,376

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Solution

The fourth proportional to 42,152.72, 58,152.48 and 25,376 is: 35,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,152.72 : 58,152.48 = 25,376 : x
  2. Step 2: Convert to fraction form
    42,152.72/58,152.48 = 25,376/x
  3. Step 3: Cross multiply
    42,152.72x = 58,152.48 × 25,376
  4. Step 4: Simplify right side
    42,152.72x = 1,475,677,332.48
  5. Step 5: Solve for x
    x = 1,475,677,332.48/42,152.72
  6. Step 6: Final answer
    x = 35,007.88

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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.