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Finding the Fourth Proportional to 77,882.50, 107,477.85 and 44,354.98

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Solution

The fourth proportional to 77,882.50, 107,477.85 and 44,354.98 is: 61,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.50 : 107,477.85 = 44,354.98 : x
  2. Step 2: Convert to fraction form
    77,882.50/107,477.85 = 44,354.98/x
  3. Step 3: Cross multiply
    77,882.50x = 107,477.85 × 44,354.98
  4. Step 4: Simplify right side
    77,882.50x = 4,767,177,887.19
  5. Step 5: Solve for x
    x = 4,767,177,887.19/77,882.50
  6. Step 6: Final answer
    x = 61,209.87

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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.