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Finding the Fourth Proportional to 99,683.95, 149,500.42 and 29,546.86

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Solution

The fourth proportional to 99,683.95, 149,500.42 and 29,546.86 is: 44,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,683.95 : 149,500.42 = 29,546.86 : x
  2. Step 2: Convert to fraction form
    99,683.95/149,500.42 = 29,546.86/x
  3. Step 3: Cross multiply
    99,683.95x = 149,500.42 × 29,546.86
  4. Step 4: Simplify right side
    99,683.95x = 4,417,267,979.68
  5. Step 5: Solve for x
    x = 4,417,267,979.68/99,683.95
  6. Step 6: Final answer
    x = 44,312.73

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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.