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Finding the Fourth Proportional to 69,695.10, 104,578.42 and 34,155.74

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Solution

The fourth proportional to 69,695.10, 104,578.42 and 34,155.74 is: 51,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,695.10 : 104,578.42 = 34,155.74 : x
  2. Step 2: Convert to fraction form
    69,695.10/104,578.42 = 34,155.74/x
  3. Step 3: Cross multiply
    69,695.10x = 104,578.42 × 34,155.74
  4. Step 4: Simplify right side
    69,695.10x = 3,571,953,323.13
  5. Step 5: Solve for x
    x = 3,571,953,323.13/69,695.10
  6. Step 6: Final answer
    x = 51,251.14

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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.