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Finding the Fourth Proportional to 42,710.16, 58,939.38 and 24,815.20

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Solution

The fourth proportional to 42,710.16, 58,939.38 and 24,815.20 is: 34,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.16 : 58,939.38 = 24,815.20 : x
  2. Step 2: Convert to fraction form
    42,710.16/58,939.38 = 24,815.20/x
  3. Step 3: Cross multiply
    42,710.16x = 58,939.38 × 24,815.20
  4. Step 4: Simplify right side
    42,710.16x = 1,462,592,502.58
  5. Step 5: Solve for x
    x = 1,462,592,502.58/42,710.16
  6. Step 6: Final answer
    x = 34,244.60

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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.