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Finding the Fourth Proportional to 80,897.82, 121,347 and 24,737.70

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Solution

The fourth proportional to 80,897.82, 121,347 and 24,737.70 is: 37,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,897.82 : 121,347 = 24,737.70 : x
  2. Step 2: Convert to fraction form
    80,897.82/121,347 = 24,737.70/x
  3. Step 3: Cross multiply
    80,897.82x = 121,347 × 24,737.70
  4. Step 4: Simplify right side
    80,897.82x = 3,001,845,681.90
  5. Step 5: Solve for x
    x = 3,001,845,681.90/80,897.82
  6. Step 6: Final answer
    x = 37,106.63

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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.