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Finding the Fourth Proportional to 76,882.76, 115,323.45 and 24,292.25

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Solution

The fourth proportional to 76,882.76, 115,323.45 and 24,292.25 is: 36,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882.76 : 115,323.45 = 24,292.25 : x
  2. Step 2: Convert to fraction form
    76,882.76/115,323.45 = 24,292.25/x
  3. Step 3: Cross multiply
    76,882.76x = 115,323.45 × 24,292.25
  4. Step 4: Simplify right side
    76,882.76x = 2,801,466,078.26
  5. Step 5: Solve for x
    x = 2,801,466,078.26/76,882.76
  6. Step 6: Final answer
    x = 36,438.16

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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.