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Finding the Fourth Proportional to 99,014.67, 148,462.67 and 31,517.55

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Solution

The fourth proportional to 99,014.67, 148,462.67 and 31,517.55 is: 47,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,014.67 : 148,462.67 = 31,517.55 : x
  2. Step 2: Convert to fraction form
    99,014.67/148,462.67 = 31,517.55/x
  3. Step 3: Cross multiply
    99,014.67x = 148,462.67 × 31,517.55
  4. Step 4: Simplify right side
    99,014.67x = 4,679,179,703.65
  5. Step 5: Solve for x
    x = 4,679,179,703.65/99,014.67
  6. Step 6: Final answer
    x = 47,257.44

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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.