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Finding the Fourth Proportional to 67,756.98, 101,641.14 and 23,384.10

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Solution

The fourth proportional to 67,756.98, 101,641.14 and 23,384.10 is: 35,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,756.98 : 101,641.14 = 23,384.10 : x
  2. Step 2: Convert to fraction form
    67,756.98/101,641.14 = 23,384.10/x
  3. Step 3: Cross multiply
    67,756.98x = 101,641.14 × 23,384.10
  4. Step 4: Simplify right side
    67,756.98x = 2,376,786,581.87
  5. Step 5: Solve for x
    x = 2,376,786,581.87/67,756.98
  6. Step 6: Final answer
    x = 35,078.11

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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.