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Finding the Fourth Proportional to 83,355.84, 124,973.28 and 38,957.76

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Solution

The fourth proportional to 83,355.84, 124,973.28 and 38,957.76 is: 58,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,355.84 : 124,973.28 = 38,957.76 : x
  2. Step 2: Convert to fraction form
    83,355.84/124,973.28 = 38,957.76/x
  3. Step 3: Cross multiply
    83,355.84x = 124,973.28 × 38,957.76
  4. Step 4: Simplify right side
    83,355.84x = 4,868,679,048.65
  5. Step 5: Solve for x
    x = 4,868,679,048.65/83,355.84
  6. Step 6: Final answer
    x = 58,408.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.