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Finding the Fourth Proportional to 47,489.60, 71,176.80 and 21,166.40

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Solution

The fourth proportional to 47,489.60, 71,176.80 and 21,166.40 is: 31,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,489.60 : 71,176.80 = 21,166.40 : x
  2. Step 2: Convert to fraction form
    47,489.60/71,176.80 = 21,166.40/x
  3. Step 3: Cross multiply
    47,489.60x = 71,176.80 × 21,166.40
  4. Step 4: Simplify right side
    47,489.60x = 1,506,556,619.52
  5. Step 5: Solve for x
    x = 1,506,556,619.52/47,489.60
  6. Step 6: Final answer
    x = 31,723.93

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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.