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Finding the Fourth Proportional to 27,613.80, 41,420.70 and 10,077.80

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Solution

The fourth proportional to 27,613.80, 41,420.70 and 10,077.80 is: 15,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.80 : 41,420.70 = 10,077.80 : x
  2. Step 2: Convert to fraction form
    27,613.80/41,420.70 = 10,077.80/x
  3. Step 3: Cross multiply
    27,613.80x = 41,420.70 × 10,077.80
  4. Step 4: Simplify right side
    27,613.80x = 417,429,530.46
  5. Step 5: Solve for x
    x = 417,429,530.46/27,613.80
  6. Step 6: Final answer
    x = 15,116.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.