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Finding the Fourth Proportional to 83,167.60, 124,751.40 and 24,005.20

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Solution

The fourth proportional to 83,167.60, 124,751.40 and 24,005.20 is: 36,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,167.60 : 124,751.40 = 24,005.20 : x
  2. Step 2: Convert to fraction form
    83,167.60/124,751.40 = 24,005.20/x
  3. Step 3: Cross multiply
    83,167.60x = 124,751.40 × 24,005.20
  4. Step 4: Simplify right side
    83,167.60x = 2,994,682,307.28
  5. Step 5: Solve for x
    x = 2,994,682,307.28/83,167.60
  6. Step 6: Final answer
    x = 36,007.80

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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.