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Finding the Fourth Proportional to 113,666.64, 170,493.90 and 34,780.92

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Solution

The fourth proportional to 113,666.64, 170,493.90 and 34,780.92 is: 52,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,666.64 : 170,493.90 = 34,780.92 : x
  2. Step 2: Convert to fraction form
    113,666.64/170,493.90 = 34,780.92/x
  3. Step 3: Cross multiply
    113,666.64x = 170,493.90 × 34,780.92
  4. Step 4: Simplify right side
    113,666.64x = 5,929,934,696.39
  5. Step 5: Solve for x
    x = 5,929,934,696.39/113,666.64
  6. Step 6: Final answer
    x = 52,169.53

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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.