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Finding the Fourth Proportional to 34,731.92, 52,097.88 and 11,357.84

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Solution

The fourth proportional to 34,731.92, 52,097.88 and 11,357.84 is: 17,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731.92 : 52,097.88 = 11,357.84 : x
  2. Step 2: Convert to fraction form
    34,731.92/52,097.88 = 11,357.84/x
  3. Step 3: Cross multiply
    34,731.92x = 52,097.88 × 11,357.84
  4. Step 4: Simplify right side
    34,731.92x = 591,719,385.38
  5. Step 5: Solve for x
    x = 591,719,385.38/34,731.92
  6. Step 6: Final answer
    x = 17,036.76

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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.