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Finding the Fourth Proportional to 99,313.80, 148,972.32 and 24,434.16

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Solution

The fourth proportional to 99,313.80, 148,972.32 and 24,434.16 is: 36,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,313.80 : 148,972.32 = 24,434.16 : x
  2. Step 2: Convert to fraction form
    99,313.80/148,972.32 = 24,434.16/x
  3. Step 3: Cross multiply
    99,313.80x = 148,972.32 × 24,434.16
  4. Step 4: Simplify right side
    99,313.80x = 3,640,013,502.45
  5. Step 5: Solve for x
    x = 3,640,013,502.45/99,313.80
  6. Step 6: Final answer
    x = 36,651.64

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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.