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Finding the Fourth Proportional to 73,989.65, 110,985.49 and 24,070

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Solution

The fourth proportional to 73,989.65, 110,985.49 and 24,070 is: 36,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989.65 : 110,985.49 = 24,070 : x
  2. Step 2: Convert to fraction form
    73,989.65/110,985.49 = 24,070/x
  3. Step 3: Cross multiply
    73,989.65x = 110,985.49 × 24,070
  4. Step 4: Simplify right side
    73,989.65x = 2,671,420,744.30
  5. Step 5: Solve for x
    x = 2,671,420,744.30/73,989.65
  6. Step 6: Final answer
    x = 36,105.33

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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.