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Finding the Fourth Proportional to 41,205, 56,862.90 and 22,342.14

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Solution

The fourth proportional to 41,205, 56,862.90 and 22,342.14 is: 30,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205 : 56,862.90 = 22,342.14 : x
  2. Step 2: Convert to fraction form
    41,205/56,862.90 = 22,342.14/x
  3. Step 3: Cross multiply
    41,205x = 56,862.90 × 22,342.14
  4. Step 4: Simplify right side
    41,205x = 1,270,438,872.61
  5. Step 5: Solve for x
    x = 1,270,438,872.61/41,205
  6. Step 6: Final answer
    x = 30,832.15

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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.