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Finding the Fourth Proportional to 65,827.28, 90,842.04 and 37,532.72

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Solution

The fourth proportional to 65,827.28, 90,842.04 and 37,532.72 is: 51,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.28 : 90,842.04 = 37,532.72 : x
  2. Step 2: Convert to fraction form
    65,827.28/90,842.04 = 37,532.72/x
  3. Step 3: Cross multiply
    65,827.28x = 90,842.04 × 37,532.72
  4. Step 4: Simplify right side
    65,827.28x = 3,409,548,851.55
  5. Step 5: Solve for x
    x = 3,409,548,851.55/65,827.28
  6. Step 6: Final answer
    x = 51,795.38

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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.