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Finding the Fourth Proportional to 65,824.80, 98,737.20 and 52,702.80

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Solution

The fourth proportional to 65,824.80, 98,737.20 and 52,702.80 is: 79,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,824.80 : 98,737.20 = 52,702.80 : x
  2. Step 2: Convert to fraction form
    65,824.80/98,737.20 = 52,702.80/x
  3. Step 3: Cross multiply
    65,824.80x = 98,737.20 × 52,702.80
  4. Step 4: Simplify right side
    65,824.80x = 5,203,726,904.16
  5. Step 5: Solve for x
    x = 5,203,726,904.16/65,824.80
  6. Step 6: Final answer
    x = 79,054.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.