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Finding the Fourth Proportional to 73,122.84, 109,700.64 and 26,375.76

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Solution

The fourth proportional to 73,122.84, 109,700.64 and 26,375.76 is: 39,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122.84 : 109,700.64 = 26,375.76 : x
  2. Step 2: Convert to fraction form
    73,122.84/109,700.64 = 26,375.76/x
  3. Step 3: Cross multiply
    73,122.84x = 109,700.64 × 26,375.76
  4. Step 4: Simplify right side
    73,122.84x = 2,893,437,752.49
  5. Step 5: Solve for x
    x = 2,893,437,752.49/73,122.84
  6. Step 6: Final answer
    x = 39,569.55

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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.