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Finding the Fourth Proportional to 69,077.14, 103,615.71 and 24,701.20

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Solution

The fourth proportional to 69,077.14, 103,615.71 and 24,701.20 is: 37,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,077.14 : 103,615.71 = 24,701.20 : x
  2. Step 2: Convert to fraction form
    69,077.14/103,615.71 = 24,701.20/x
  3. Step 3: Cross multiply
    69,077.14x = 103,615.71 × 24,701.20
  4. Step 4: Simplify right side
    69,077.14x = 2,559,432,375.85
  5. Step 5: Solve for x
    x = 2,559,432,375.85/69,077.14
  6. Step 6: Final answer
    x = 37,051.80

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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.