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Finding the Fourth Proportional to 41,702.34, 57,549.30 and 22,582.32

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Solution

The fourth proportional to 41,702.34, 57,549.30 and 22,582.32 is: 31,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.34 : 57,549.30 = 22,582.32 : x
  2. Step 2: Convert to fraction form
    41,702.34/57,549.30 = 22,582.32/x
  3. Step 3: Cross multiply
    41,702.34x = 57,549.30 × 22,582.32
  4. Step 4: Simplify right side
    41,702.34x = 1,299,596,708.38
  5. Step 5: Solve for x
    x = 1,299,596,708.38/41,702.34
  6. Step 6: Final answer
    x = 31,163.64

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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.