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Finding the Fourth Proportional to 69,077.64, 103,616.46 and 24,701.70

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Solution

The fourth proportional to 69,077.64, 103,616.46 and 24,701.70 is: 37,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,077.64 : 103,616.46 = 24,701.70 : x
  2. Step 2: Convert to fraction form
    69,077.64/103,616.46 = 24,701.70/x
  3. Step 3: Cross multiply
    69,077.64x = 103,616.46 × 24,701.70
  4. Step 4: Simplify right side
    69,077.64x = 2,559,502,709.98
  5. Step 5: Solve for x
    x = 2,559,502,709.98/69,077.64
  6. Step 6: Final answer
    x = 37,052.55

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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.