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Finding the Fourth Proportional to 73,784.76, 101,822.84 and 40,250.76

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Solution

The fourth proportional to 73,784.76, 101,822.84 and 40,250.76 is: 55,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.76 : 101,822.84 = 40,250.76 : x
  2. Step 2: Convert to fraction form
    73,784.76/101,822.84 = 40,250.76/x
  3. Step 3: Cross multiply
    73,784.76x = 101,822.84 × 40,250.76
  4. Step 4: Simplify right side
    73,784.76x = 4,098,446,695.36
  5. Step 5: Solve for x
    x = 4,098,446,695.36/73,784.76
  6. Step 6: Final answer
    x = 55,545.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.