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Finding the Fourth Proportional to 172,482.26, 258,723.40 and 47,823.26

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Solution

The fourth proportional to 172,482.26, 258,723.40 and 47,823.26 is: 71,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482.26 : 258,723.40 = 47,823.26 : x
  2. Step 2: Convert to fraction form
    172,482.26/258,723.40 = 47,823.26/x
  3. Step 3: Cross multiply
    172,482.26x = 258,723.40 × 47,823.26
  4. Step 4: Simplify right side
    172,482.26x = 12,372,996,426.28
  5. Step 5: Solve for x
    x = 12,372,996,426.28/172,482.26
  6. Step 6: Final answer
    x = 71,734.89

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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.