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Finding the Fourth Proportional to 61,205.60, 92,002.80 and 57,706.40

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Solution

The fourth proportional to 61,205.60, 92,002.80 and 57,706.40 is: 86,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.60 : 92,002.80 = 57,706.40 : x
  2. Step 2: Convert to fraction form
    61,205.60/92,002.80 = 57,706.40/x
  3. Step 3: Cross multiply
    61,205.60x = 92,002.80 × 57,706.40
  4. Step 4: Simplify right side
    61,205.60x = 5,309,150,377.92
  5. Step 5: Solve for x
    x = 5,309,150,377.92/61,205.60
  6. Step 6: Final answer
    x = 86,742.89

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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.