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Finding the Fourth Proportional to 65,233.82, 90,023.03 and 38,377.34

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Solution

The fourth proportional to 65,233.82, 90,023.03 and 38,377.34 is: 52,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.82 : 90,023.03 = 38,377.34 : x
  2. Step 2: Convert to fraction form
    65,233.82/90,023.03 = 38,377.34/x
  3. Step 3: Cross multiply
    65,233.82x = 90,023.03 × 38,377.34
  4. Step 4: Simplify right side
    65,233.82x = 3,454,844,430.14
  5. Step 5: Solve for x
    x = 3,454,844,430.14/65,233.82
  6. Step 6: Final answer
    x = 52,960.94

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