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Finding the Fourth Proportional to 172,406.12, 258,613.50 and 47,748.20

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Solution

The fourth proportional to 172,406.12, 258,613.50 and 47,748.20 is: 71,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,406.12 : 258,613.50 = 47,748.20 : x
  2. Step 2: Convert to fraction form
    172,406.12/258,613.50 = 47,748.20/x
  3. Step 3: Cross multiply
    172,406.12x = 258,613.50 × 47,748.20
  4. Step 4: Simplify right side
    172,406.12x = 12,348,329,120.70
  5. Step 5: Solve for x
    x = 12,348,329,120.70/172,406.12
  6. Step 6: Final answer
    x = 71,623.50

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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.