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Finding the Fourth Proportional to 75,466, 104,146.50 and 41,932

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Solution

The fourth proportional to 75,466, 104,146.50 and 41,932 is: 57,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,466 : 104,146.50 = 41,932 : x
  2. Step 2: Convert to fraction form
    75,466/104,146.50 = 41,932/x
  3. Step 3: Cross multiply
    75,466x = 104,146.50 × 41,932
  4. Step 4: Simplify right side
    75,466x = 4,367,071,038
  5. Step 5: Solve for x
    x = 4,367,071,038/75,466
  6. Step 6: Final answer
    x = 57,868.06

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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.