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Finding the Fourth Proportional to 65,431.40, 90,265.14 and 38,555.56

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Solution

The fourth proportional to 65,431.40, 90,265.14 and 38,555.56 is: 53,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,431.40 : 90,265.14 = 38,555.56 : x
  2. Step 2: Convert to fraction form
    65,431.40/90,265.14 = 38,555.56/x
  3. Step 3: Cross multiply
    65,431.40x = 90,265.14 × 38,555.56
  4. Step 4: Simplify right side
    65,431.40x = 3,480,223,021.18
  5. Step 5: Solve for x
    x = 3,480,223,021.18/65,431.40
  6. Step 6: Final answer
    x = 53,188.88

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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.