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Finding the Fourth Proportional to 117,538.56, 176,307.84 and 34,432.56

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Solution

The fourth proportional to 117,538.56, 176,307.84 and 34,432.56 is: 51,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538.56 : 176,307.84 = 34,432.56 : x
  2. Step 2: Convert to fraction form
    117,538.56/176,307.84 = 34,432.56/x
  3. Step 3: Cross multiply
    117,538.56x = 176,307.84 × 34,432.56
  4. Step 4: Simplify right side
    117,538.56x = 6,070,730,279.27
  5. Step 5: Solve for x
    x = 6,070,730,279.27/117,538.56
  6. Step 6: Final answer
    x = 51,648.84

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1.5x scale

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.