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Finding the Fourth Proportional to 77,000.10, 115,500.15 and 65,724.90

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Solution

The fourth proportional to 77,000.10, 115,500.15 and 65,724.90 is: 98,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.10 : 115,500.15 = 65,724.90 : x
  2. Step 2: Convert to fraction form
    77,000.10/115,500.15 = 65,724.90/x
  3. Step 3: Cross multiply
    77,000.10x = 115,500.15 × 65,724.90
  4. Step 4: Simplify right side
    77,000.10x = 7,591,235,808.74
  5. Step 5: Solve for x
    x = 7,591,235,808.74/77,000.10
  6. Step 6: Final answer
    x = 98,587.35

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Similar ratio
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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.