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Finding the Fourth Proportional to 83,221.76, 124,748.40 and 29,897.84

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Solution

The fourth proportional to 83,221.76, 124,748.40 and 29,897.84 is: 44,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.76 : 124,748.40 = 29,897.84 : x
  2. Step 2: Convert to fraction form
    83,221.76/124,748.40 = 29,897.84/x
  3. Step 3: Cross multiply
    83,221.76x = 124,748.40 × 29,897.84
  4. Step 4: Simplify right side
    83,221.76x = 3,729,707,703.46
  5. Step 5: Solve for x
    x = 3,729,707,703.46/83,221.76
  6. Step 6: Final answer
    x = 44,816.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.