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Finding the Fourth Proportional to 77,000.40, 115,500.60 and 34,900.65

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Solution

The fourth proportional to 77,000.40, 115,500.60 and 34,900.65 is: 52,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,000.40 : 115,500.60 = 34,900.65 : x
  2. Step 2: Convert to fraction form
    77,000.40/115,500.60 = 34,900.65/x
  3. Step 3: Cross multiply
    77,000.40x = 115,500.60 × 34,900.65
  4. Step 4: Simplify right side
    77,000.40x = 4,031,046,015.39
  5. Step 5: Solve for x
    x = 4,031,046,015.39/77,000.40
  6. Step 6: Final answer
    x = 52,350.98

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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.