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Finding the Fourth Proportional to 97,658.60, 146,487.90 and 31,098.20

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Solution

The fourth proportional to 97,658.60, 146,487.90 and 31,098.20 is: 46,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,658.60 : 146,487.90 = 31,098.20 : x
  2. Step 2: Convert to fraction form
    97,658.60/146,487.90 = 31,098.20/x
  3. Step 3: Cross multiply
    97,658.60x = 146,487.90 × 31,098.20
  4. Step 4: Simplify right side
    97,658.60x = 4,555,510,011.78
  5. Step 5: Solve for x
    x = 4,555,510,011.78/97,658.60
  6. Step 6: Final answer
    x = 46,647.30

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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.