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Finding the Fourth Proportional to 82,117.17, 123,175.95 and 22,952.73

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Solution

The fourth proportional to 82,117.17, 123,175.95 and 22,952.73 is: 34,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.17 : 123,175.95 = 22,952.73 : x
  2. Step 2: Convert to fraction form
    82,117.17/123,175.95 = 22,952.73/x
  3. Step 3: Cross multiply
    82,117.17x = 123,175.95 × 22,952.73
  4. Step 4: Simplify right side
    82,117.17x = 2,827,224,322.84
  5. Step 5: Solve for x
    x = 2,827,224,322.84/82,117.17
  6. Step 6: Final answer
    x = 34,429.15

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1.5x scale

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.