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Finding the Fourth Proportional to 117,885.44, 176,876.80 and 47,746.88

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Solution

The fourth proportional to 117,885.44, 176,876.80 and 47,746.88 is: 71,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,885.44 : 176,876.80 = 47,746.88 : x
  2. Step 2: Convert to fraction form
    117,885.44/176,876.80 = 47,746.88/x
  3. Step 3: Cross multiply
    117,885.44x = 176,876.80 × 47,746.88
  4. Step 4: Simplify right side
    117,885.44x = 8,445,315,344.38
  5. Step 5: Solve for x
    x = 8,445,315,344.38/117,885.44
  6. Step 6: Final answer
    x = 71,640.02

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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.