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Finding the Fourth Proportional to 83,023.70, 124,526.32 and 29,713.52

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Solution

The fourth proportional to 83,023.70, 124,526.32 and 29,713.52 is: 44,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,023.70 : 124,526.32 = 29,713.52 : x
  2. Step 2: Convert to fraction form
    83,023.70/124,526.32 = 29,713.52/x
  3. Step 3: Cross multiply
    83,023.70x = 124,526.32 × 29,713.52
  4. Step 4: Simplify right side
    83,023.70x = 3,700,115,536.88
  5. Step 5: Solve for x
    x = 3,700,115,536.88/83,023.70
  6. Step 6: Final answer
    x = 44,566.98

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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.