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Finding the Fourth Proportional to 73,312.80, 101,172.84 and 39,778.80

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Solution

The fourth proportional to 73,312.80, 101,172.84 and 39,778.80 is: 54,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,312.80 : 101,172.84 = 39,778.80 : x
  2. Step 2: Convert to fraction form
    73,312.80/101,172.84 = 39,778.80/x
  3. Step 3: Cross multiply
    73,312.80x = 101,172.84 × 39,778.80
  4. Step 4: Simplify right side
    73,312.80x = 4,024,534,167.79
  5. Step 5: Solve for x
    x = 4,024,534,167.79/73,312.80
  6. Step 6: Final answer
    x = 54,895.38

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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.