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Finding the Fourth Proportional to 65,527.89, 90,429.12 and 37,233.78

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Solution

The fourth proportional to 65,527.89, 90,429.12 and 37,233.78 is: 51,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,527.89 : 90,429.12 = 37,233.78 : x
  2. Step 2: Convert to fraction form
    65,527.89/90,429.12 = 37,233.78/x
  3. Step 3: Cross multiply
    65,527.89x = 90,429.12 × 37,233.78
  4. Step 4: Simplify right side
    65,527.89x = 3,367,017,959.67
  5. Step 5: Solve for x
    x = 3,367,017,959.67/65,527.89
  6. Step 6: Final answer
    x = 51,382.98

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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.