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Finding the Fourth Proportional to 69,083.10, 103,624.65 and 52,494.30

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Solution

The fourth proportional to 69,083.10, 103,624.65 and 52,494.30 is: 78,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,083.10 : 103,624.65 = 52,494.30 : x
  2. Step 2: Convert to fraction form
    69,083.10/103,624.65 = 52,494.30/x
  3. Step 3: Cross multiply
    69,083.10x = 103,624.65 × 52,494.30
  4. Step 4: Simplify right side
    69,083.10x = 5,439,703,464.50
  5. Step 5: Solve for x
    x = 5,439,703,464.50/69,083.10
  6. Step 6: Final answer
    x = 78,741.45

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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.