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Finding the Fourth Proportional to 117,182.68, 175,782.24 and 47,062

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Solution

The fourth proportional to 117,182.68, 175,782.24 and 47,062 is: 70,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,182.68 : 175,782.24 = 47,062 : x
  2. Step 2: Convert to fraction form
    117,182.68/175,782.24 = 47,062/x
  3. Step 3: Cross multiply
    117,182.68x = 175,782.24 × 47,062
  4. Step 4: Simplify right side
    117,182.68x = 8,272,663,778.88
  5. Step 5: Solve for x
    x = 8,272,663,778.88/117,182.68
  6. Step 6: Final answer
    x = 70,596.30

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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.