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Finding the Fourth Proportional to 65,049.24, 89,827.74 and 52,304.52

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Solution

The fourth proportional to 65,049.24, 89,827.74 and 52,304.52 is: 72,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.24 : 89,827.74 = 52,304.52 : x
  2. Step 2: Convert to fraction form
    65,049.24/89,827.74 = 52,304.52/x
  3. Step 3: Cross multiply
    65,049.24x = 89,827.74 × 52,304.52
  4. Step 4: Simplify right side
    65,049.24x = 4,698,396,823.38
  5. Step 5: Solve for x
    x = 4,698,396,823.38/65,049.24
  6. Step 6: Final answer
    x = 72,228.31

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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.