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Finding the Fourth Proportional to 65,827.38, 90,841.69 and 35,612.61

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Solution

The fourth proportional to 65,827.38, 90,841.69 and 35,612.61 is: 49,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.38 : 90,841.69 = 35,612.61 : x
  2. Step 2: Convert to fraction form
    65,827.38/90,841.69 = 35,612.61/x
  3. Step 3: Cross multiply
    65,827.38x = 90,841.69 × 35,612.61
  4. Step 4: Simplify right side
    65,827.38x = 3,235,109,381.57
  5. Step 5: Solve for x
    x = 3,235,109,381.57/65,827.38
  6. Step 6: Final answer
    x = 49,145.34

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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.