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Finding the Fourth Proportional to 69,189.46, 103,784.29 and 19,269.70

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Solution

The fourth proportional to 69,189.46, 103,784.29 and 19,269.70 is: 28,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189.46 : 103,784.29 = 19,269.70 : x
  2. Step 2: Convert to fraction form
    69,189.46/103,784.29 = 19,269.70/x
  3. Step 3: Cross multiply
    69,189.46x = 103,784.29 × 19,269.70
  4. Step 4: Simplify right side
    69,189.46x = 1,999,891,825.38
  5. Step 5: Solve for x
    x = 1,999,891,825.38/69,189.46
  6. Step 6: Final answer
    x = 28,904.57

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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.