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Finding the Fourth Proportional to 46,766.68, 70,142.46 and 17,177.20

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Solution

The fourth proportional to 46,766.68, 70,142.46 and 17,177.20 is: 25,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,766.68 : 70,142.46 = 17,177.20 : x
  2. Step 2: Convert to fraction form
    46,766.68/70,142.46 = 17,177.20/x
  3. Step 3: Cross multiply
    46,766.68x = 70,142.46 × 17,177.20
  4. Step 4: Simplify right side
    46,766.68x = 1,204,851,063.91
  5. Step 5: Solve for x
    x = 1,204,851,063.91/46,766.68
  6. Step 6: Final answer
    x = 25,763.02

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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.