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Finding the Fourth Proportional to 57,904.20, 86,726.70 and 47,536.20

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Solution

The fourth proportional to 57,904.20, 86,726.70 and 47,536.20 is: 71,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,904.20 : 86,726.70 = 47,536.20 : x
  2. Step 2: Convert to fraction form
    57,904.20/86,726.70 = 47,536.20/x
  3. Step 3: Cross multiply
    57,904.20x = 86,726.70 × 47,536.20
  4. Step 4: Simplify right side
    57,904.20x = 4,122,657,756.54
  5. Step 5: Solve for x
    x = 4,122,657,756.54/57,904.20
  6. Step 6: Final answer
    x = 71,197.91

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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.