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Finding the Fourth Proportional to 41,409.90, 57,143.88 and 22,547.16

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Solution

The fourth proportional to 41,409.90, 57,143.88 and 22,547.16 is: 31,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,409.90 : 57,143.88 = 22,547.16 : x
  2. Step 2: Convert to fraction form
    41,409.90/57,143.88 = 22,547.16/x
  3. Step 3: Cross multiply
    41,409.90x = 57,143.88 × 22,547.16
  4. Step 4: Simplify right side
    41,409.90x = 1,288,432,205.38
  5. Step 5: Solve for x
    x = 1,288,432,205.38/41,409.90
  6. Step 6: Final answer
    x = 31,114.11

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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.