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Finding the Fourth Proportional to 52,651.60, 78,965.74 and 15,203.52

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Solution

The fourth proportional to 52,651.60, 78,965.74 and 15,203.52 is: 22,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,651.60 : 78,965.74 = 15,203.52 : x
  2. Step 2: Convert to fraction form
    52,651.60/78,965.74 = 15,203.52/x
  3. Step 3: Cross multiply
    52,651.60x = 78,965.74 × 15,203.52
  4. Step 4: Simplify right side
    52,651.60x = 1,200,557,207.40
  5. Step 5: Solve for x
    x = 1,200,557,207.40/52,651.60
  6. Step 6: Final answer
    x = 22,801.91

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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.