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Finding the Fourth Proportional to 117,862.88, 176,794.80 and 47,743.52

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Solution

The fourth proportional to 117,862.88, 176,794.80 and 47,743.52 is: 71,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,862.88 : 176,794.80 = 47,743.52 : x
  2. Step 2: Convert to fraction form
    117,862.88/176,794.80 = 47,743.52/x
  3. Step 3: Cross multiply
    117,862.88x = 176,794.80 × 47,743.52
  4. Step 4: Simplify right side
    117,862.88x = 8,440,806,069.70
  5. Step 5: Solve for x
    x = 8,440,806,069.70/117,862.88
  6. Step 6: Final answer
    x = 71,615.47

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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.