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Finding the Fourth Proportional to 58,294.85, 80,453.12 and 35,647.11

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Solution

The fourth proportional to 58,294.85, 80,453.12 and 35,647.11 is: 49,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,294.85 : 80,453.12 = 35,647.11 : x
  2. Step 2: Convert to fraction form
    58,294.85/80,453.12 = 35,647.11/x
  3. Step 3: Cross multiply
    58,294.85x = 80,453.12 × 35,647.11
  4. Step 4: Simplify right side
    58,294.85x = 2,867,921,040.25
  5. Step 5: Solve for x
    x = 2,867,921,040.25/58,294.85
  6. Step 6: Final answer
    x = 49,196.82

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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.