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Finding the Fourth Proportional to 105,229.32, 145,211.05 and 57,473.44

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Solution

The fourth proportional to 105,229.32, 145,211.05 and 57,473.44 is: 79,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.32 : 145,211.05 = 57,473.44 : x
  2. Step 2: Convert to fraction form
    105,229.32/145,211.05 = 57,473.44/x
  3. Step 3: Cross multiply
    105,229.32x = 145,211.05 × 57,473.44
  4. Step 4: Simplify right side
    105,229.32x = 8,345,778,425.83
  5. Step 5: Solve for x
    x = 8,345,778,425.83/105,229.32
  6. Step 6: Final answer
    x = 79,310.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.