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Finding the Fourth Proportional to 69,932, 104,887.10 and 38,357.59

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Solution

The fourth proportional to 69,932, 104,887.10 and 38,357.59 is: 57,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,932 : 104,887.10 = 38,357.59 : x
  2. Step 2: Convert to fraction form
    69,932/104,887.10 = 38,357.59/x
  3. Step 3: Cross multiply
    69,932x = 104,887.10 × 38,357.59
  4. Step 4: Simplify right side
    69,932x = 4,023,216,378.09
  5. Step 5: Solve for x
    x = 4,023,216,378.09/69,932
  6. Step 6: Final answer
    x = 57,530.41

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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.