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Finding the Fourth Proportional to 65,711.70, 98,567.55 and 37,977.30

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Solution

The fourth proportional to 65,711.70, 98,567.55 and 37,977.30 is: 56,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,711.70 : 98,567.55 = 37,977.30 : x
  2. Step 2: Convert to fraction form
    65,711.70/98,567.55 = 37,977.30/x
  3. Step 3: Cross multiply
    65,711.70x = 98,567.55 × 37,977.30
  4. Step 4: Simplify right side
    65,711.70x = 3,743,329,416.62
  5. Step 5: Solve for x
    x = 3,743,329,416.62/65,711.70
  6. Step 6: Final answer
    x = 56,965.95

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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.