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Finding the Fourth Proportional to 41,702.19, 57,549.06 and 22,582.01

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Solution

The fourth proportional to 41,702.19, 57,549.06 and 22,582.01 is: 31,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.19 : 57,549.06 = 22,582.01 : x
  2. Step 2: Convert to fraction form
    41,702.19/57,549.06 = 22,582.01/x
  3. Step 3: Cross multiply
    41,702.19x = 57,549.06 × 22,582.01
  4. Step 4: Simplify right side
    41,702.19x = 1,299,573,160.67
  5. Step 5: Solve for x
    x = 1,299,573,160.67/41,702.19
  6. Step 6: Final answer
    x = 31,163.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.