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Finding the Fourth Proportional to 83,852.84, 125,668.14 and 61,562.04

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Solution

The fourth proportional to 83,852.84, 125,668.14 and 61,562.04 is: 92,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,852.84 : 125,668.14 = 61,562.04 : x
  2. Step 2: Convert to fraction form
    83,852.84/125,668.14 = 61,562.04/x
  3. Step 3: Cross multiply
    83,852.84x = 125,668.14 × 61,562.04
  4. Step 4: Simplify right side
    83,852.84x = 7,736,387,061.41
  5. Step 5: Solve for x
    x = 7,736,387,061.41/83,852.84
  6. Step 6: Final answer
    x = 92,261.48

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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.