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Finding the Fourth Proportional to 42,257.88, 58,302.72 and 28,113.12

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Solution

The fourth proportional to 42,257.88, 58,302.72 and 28,113.12 is: 38,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,257.88 : 58,302.72 = 28,113.12 : x
  2. Step 2: Convert to fraction form
    42,257.88/58,302.72 = 28,113.12/x
  3. Step 3: Cross multiply
    42,257.88x = 58,302.72 × 28,113.12
  4. Step 4: Simplify right side
    42,257.88x = 1,639,071,363.69
  5. Step 5: Solve for x
    x = 1,639,071,363.69/42,257.88
  6. Step 6: Final answer
    x = 38,787.35

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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.