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Finding the Fourth Proportional to 47,254.88, 70,882.47 and 32,418.83

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Solution

The fourth proportional to 47,254.88, 70,882.47 and 32,418.83 is: 48,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.88 : 70,882.47 = 32,418.83 : x
  2. Step 2: Convert to fraction form
    47,254.88/70,882.47 = 32,418.83/x
  3. Step 3: Cross multiply
    47,254.88x = 70,882.47 × 32,418.83
  4. Step 4: Simplify right side
    47,254.88x = 2,297,926,390.50
  5. Step 5: Solve for x
    x = 2,297,926,390.50/47,254.88
  6. Step 6: Final answer
    x = 48,628.35

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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.