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Finding the Fourth Proportional to 75,053.34, 103,586.31 and 43,216.38

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Solution

The fourth proportional to 75,053.34, 103,586.31 and 43,216.38 is: 59,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,053.34 : 103,586.31 = 43,216.38 : x
  2. Step 2: Convert to fraction form
    75,053.34/103,586.31 = 43,216.38/x
  3. Step 3: Cross multiply
    75,053.34x = 103,586.31 × 43,216.38
  4. Step 4: Simplify right side
    75,053.34x = 4,476,625,335.76
  5. Step 5: Solve for x
    x = 4,476,625,335.76/75,053.34
  6. Step 6: Final answer
    x = 59,645.92

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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.