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Finding the Fourth Proportional to 52,475.75, 78,726.95 and 15,539.75

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Solution

The fourth proportional to 52,475.75, 78,726.95 and 15,539.75 is: 23,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475.75 : 78,726.95 = 15,539.75 : x
  2. Step 2: Convert to fraction form
    52,475.75/78,726.95 = 15,539.75/x
  3. Step 3: Cross multiply
    52,475.75x = 78,726.95 × 15,539.75
  4. Step 4: Simplify right side
    52,475.75x = 1,223,397,121.26
  5. Step 5: Solve for x
    x = 1,223,397,121.26/52,475.75
  6. Step 6: Final answer
    x = 23,313.57

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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.