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Finding the Fourth Proportional to 99,317.80, 148,978.32 and 24,438.16

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Solution

The fourth proportional to 99,317.80, 148,978.32 and 24,438.16 is: 36,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,317.80 : 148,978.32 = 24,438.16 : x
  2. Step 2: Convert to fraction form
    99,317.80/148,978.32 = 24,438.16/x
  3. Step 3: Cross multiply
    99,317.80x = 148,978.32 × 24,438.16
  4. Step 4: Simplify right side
    99,317.80x = 3,640,756,020.69
  5. Step 5: Solve for x
    x = 3,640,756,020.69/99,317.80
  6. Step 6: Final answer
    x = 36,657.64

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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.