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Finding the Fourth Proportional to 99,311.80, 148,969.32 and 24,432.16

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Solution

The fourth proportional to 99,311.80, 148,969.32 and 24,432.16 is: 36,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,311.80 : 148,969.32 = 24,432.16 : x
  2. Step 2: Convert to fraction form
    99,311.80/148,969.32 = 24,432.16/x
  3. Step 3: Cross multiply
    99,311.80x = 148,969.32 × 24,432.16
  4. Step 4: Simplify right side
    99,311.80x = 3,639,642,261.33
  5. Step 5: Solve for x
    x = 3,639,642,261.33/99,311.80
  6. Step 6: Final answer
    x = 36,648.64

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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.