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Finding the Fourth Proportional to 99,086.94, 148,629.88 and 24,207.50

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Solution

The fourth proportional to 99,086.94, 148,629.88 and 24,207.50 is: 36,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,086.94 : 148,629.88 = 24,207.50 : x
  2. Step 2: Convert to fraction form
    99,086.94/148,629.88 = 24,207.50/x
  3. Step 3: Cross multiply
    99,086.94x = 148,629.88 × 24,207.50
  4. Step 4: Simplify right side
    99,086.94x = 3,597,957,820.10
  5. Step 5: Solve for x
    x = 3,597,957,820.10/99,086.94
  6. Step 6: Final answer
    x = 36,311.12

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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.