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Finding the Fourth Proportional to 82,167.73, 113,381.71 and 46,355.65

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Solution

The fourth proportional to 82,167.73, 113,381.71 and 46,355.65 is: 63,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.73 : 113,381.71 = 46,355.65 : x
  2. Step 2: Convert to fraction form
    82,167.73/113,381.71 = 46,355.65/x
  3. Step 3: Cross multiply
    82,167.73x = 113,381.71 × 46,355.65
  4. Step 4: Simplify right side
    82,167.73x = 5,255,882,865.16
  5. Step 5: Solve for x
    x = 5,255,882,865.16/82,167.73
  6. Step 6: Final answer
    x = 63,965.29

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1.5x scale

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.