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Finding the Fourth Proportional to 69,844.30, 96,382.56 and 38,012.50

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Solution

The fourth proportional to 69,844.30, 96,382.56 and 38,012.50 is: 52,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,844.30 : 96,382.56 = 38,012.50 : x
  2. Step 2: Convert to fraction form
    69,844.30/96,382.56 = 38,012.50/x
  3. Step 3: Cross multiply
    69,844.30x = 96,382.56 × 38,012.50
  4. Step 4: Simplify right side
    69,844.30x = 3,663,742,062
  5. Step 5: Solve for x
    x = 3,663,742,062/69,844.30
  6. Step 6: Final answer
    x = 52,455.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.