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Finding the Fourth Proportional to 41,565, 57,360.01 and 22,702.13

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Solution

The fourth proportional to 41,565, 57,360.01 and 22,702.13 is: 31,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565 : 57,360.01 = 22,702.13 : x
  2. Step 2: Convert to fraction form
    41,565/57,360.01 = 22,702.13/x
  3. Step 3: Cross multiply
    41,565x = 57,360.01 × 22,702.13
  4. Step 4: Simplify right side
    41,565x = 1,302,194,060.27
  5. Step 5: Solve for x
    x = 1,302,194,060.27/41,565
  6. Step 6: Final answer
    x = 31,329.10

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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.