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Finding the Fourth Proportional to 69,013.76, 103,547.52 and 27,464.96

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Solution

The fourth proportional to 69,013.76, 103,547.52 and 27,464.96 is: 41,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,013.76 : 103,547.52 = 27,464.96 : x
  2. Step 2: Convert to fraction form
    69,013.76/103,547.52 = 27,464.96/x
  3. Step 3: Cross multiply
    69,013.76x = 103,547.52 × 27,464.96
  4. Step 4: Simplify right side
    69,013.76x = 2,843,928,494.90
  5. Step 5: Solve for x
    x = 2,843,928,494.90/69,013.76
  6. Step 6: Final answer
    x = 41,208.14

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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.