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Finding the Fourth Proportional to 52,301.64, 78,737.04 and 47,651.52

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Solution

The fourth proportional to 52,301.64, 78,737.04 and 47,651.52 is: 71,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,301.64 : 78,737.04 = 47,651.52 : x
  2. Step 2: Convert to fraction form
    52,301.64/78,737.04 = 47,651.52/x
  3. Step 3: Cross multiply
    52,301.64x = 78,737.04 × 47,651.52
  4. Step 4: Simplify right side
    52,301.64x = 3,751,939,636.30
  5. Step 5: Solve for x
    x = 3,751,939,636.30/52,301.64
  6. Step 6: Final answer
    x = 71,736.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.