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Finding the Fourth Proportional to 83,594.88, 125,404.08 and 24,435

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Solution

The fourth proportional to 83,594.88, 125,404.08 and 24,435 is: 36,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.88 : 125,404.08 = 24,435 : x
  2. Step 2: Convert to fraction form
    83,594.88/125,404.08 = 24,435/x
  3. Step 3: Cross multiply
    83,594.88x = 125,404.08 × 24,435
  4. Step 4: Simplify right side
    83,594.88x = 3,064,248,694.80
  5. Step 5: Solve for x
    x = 3,064,248,694.80/83,594.88
  6. Step 6: Final answer
    x = 36,655.94

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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.