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Finding the Fourth Proportional to 113,915.86, 170,873.85 and 29,675.80

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Solution

The fourth proportional to 113,915.86, 170,873.85 and 29,675.80 is: 44,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,915.86 : 170,873.85 = 29,675.80 : x
  2. Step 2: Convert to fraction form
    113,915.86/170,873.85 = 29,675.80/x
  3. Step 3: Cross multiply
    113,915.86x = 170,873.85 × 29,675.80
  4. Step 4: Simplify right side
    113,915.86x = 5,070,818,197.83
  5. Step 5: Solve for x
    x = 5,070,818,197.83/113,915.86
  6. Step 6: Final answer
    x = 44,513.72

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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.