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Finding the Fourth Proportional to 42,047.74, 58,025.82 and 23,184.91

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Solution

The fourth proportional to 42,047.74, 58,025.82 and 23,184.91 is: 31,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.74 : 58,025.82 = 23,184.91 : x
  2. Step 2: Convert to fraction form
    42,047.74/58,025.82 = 23,184.91/x
  3. Step 3: Cross multiply
    42,047.74x = 58,025.82 × 23,184.91
  4. Step 4: Simplify right side
    42,047.74x = 1,345,323,414.38
  5. Step 5: Solve for x
    x = 1,345,323,414.38/42,047.74
  6. Step 6: Final answer
    x = 31,995.14

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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.