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Finding the Fourth Proportional to 42,716.57, 58,976.57 and 38,232.54

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Solution

The fourth proportional to 42,716.57, 58,976.57 and 38,232.54 is: 52,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716.57 : 58,976.57 = 38,232.54 : x
  2. Step 2: Convert to fraction form
    42,716.57/58,976.57 = 38,232.54/x
  3. Step 3: Cross multiply
    42,716.57x = 58,976.57 × 38,232.54
  4. Step 4: Simplify right side
    42,716.57x = 2,254,824,167.17
  5. Step 5: Solve for x
    x = 2,254,824,167.17/42,716.57
  6. Step 6: Final answer
    x = 52,785.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.