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Finding the Fourth Proportional to 52,272.64, 78,418.65 and 24,570.64

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Solution

The fourth proportional to 52,272.64, 78,418.65 and 24,570.64 is: 36,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,272.64 : 78,418.65 = 24,570.64 : x
  2. Step 2: Convert to fraction form
    52,272.64/78,418.65 = 24,570.64/x
  3. Step 3: Cross multiply
    52,272.64x = 78,418.65 × 24,570.64
  4. Step 4: Simplify right side
    52,272.64x = 1,926,796,418.44
  5. Step 5: Solve for x
    x = 1,926,796,418.44/52,272.64
  6. Step 6: Final answer
    x = 36,860.51

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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.