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Finding the Fourth Proportional to 42,578.46, 58,746.47 and 27,471.76

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Solution

The fourth proportional to 42,578.46, 58,746.47 and 27,471.76 is: 37,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,578.46 : 58,746.47 = 27,471.76 : x
  2. Step 2: Convert to fraction form
    42,578.46/58,746.47 = 27,471.76/x
  3. Step 3: Cross multiply
    42,578.46x = 58,746.47 × 27,471.76
  4. Step 4: Simplify right side
    42,578.46x = 1,613,868,640.46
  5. Step 5: Solve for x
    x = 1,613,868,640.46/42,578.46
  6. Step 6: Final answer
    x = 37,903.41

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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.