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Finding the Fourth Proportional to 67,322.45, 100,952.76 and 22,931.14

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Solution

The fourth proportional to 67,322.45, 100,952.76 and 22,931.14 is: 34,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,322.45 : 100,952.76 = 22,931.14 : x
  2. Step 2: Convert to fraction form
    67,322.45/100,952.76 = 22,931.14/x
  3. Step 3: Cross multiply
    67,322.45x = 100,952.76 × 22,931.14
  4. Step 4: Simplify right side
    67,322.45x = 2,314,961,872.95
  5. Step 5: Solve for x
    x = 2,314,961,872.95/67,322.45
  6. Step 6: Final answer
    x = 34,386.18

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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.