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Finding the Fourth Proportional to 83,732.70, 125,599.05 and 77,827.80

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Solution

The fourth proportional to 83,732.70, 125,599.05 and 77,827.80 is: 116,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.70 : 125,599.05 = 77,827.80 : x
  2. Step 2: Convert to fraction form
    83,732.70/125,599.05 = 77,827.80/x
  3. Step 3: Cross multiply
    83,732.70x = 125,599.05 × 77,827.80
  4. Step 4: Simplify right side
    83,732.70x = 9,775,097,743.59
  5. Step 5: Solve for x
    x = 9,775,097,743.59/83,732.70
  6. Step 6: Final answer
    x = 116,741.70

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1.5x scale

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.