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Finding the Fourth Proportional to 65,307.11, 90,040.38 and 42,296.28

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Solution

The fourth proportional to 65,307.11, 90,040.38 and 42,296.28 is: 58,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,307.11 : 90,040.38 = 42,296.28 : x
  2. Step 2: Convert to fraction form
    65,307.11/90,040.38 = 42,296.28/x
  3. Step 3: Cross multiply
    65,307.11x = 90,040.38 × 42,296.28
  4. Step 4: Simplify right side
    65,307.11x = 3,808,372,912.31
  5. Step 5: Solve for x
    x = 3,808,372,912.31/65,307.11
  6. Step 6: Final answer
    x = 58,314.83

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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.