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Finding the Fourth Proportional to 65,588.31, 90,511.45 and 37,294

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Solution

The fourth proportional to 65,588.31, 90,511.45 and 37,294 is: 51,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,588.31 : 90,511.45 = 37,294 : x
  2. Step 2: Convert to fraction form
    65,588.31/90,511.45 = 37,294/x
  3. Step 3: Cross multiply
    65,588.31x = 90,511.45 × 37,294
  4. Step 4: Simplify right side
    65,588.31x = 3,375,534,016.30
  5. Step 5: Solve for x
    x = 3,375,534,016.30/65,588.31
  6. Step 6: Final answer
    x = 51,465.48

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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.