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Finding the Fourth Proportional to 47,356.10, 65,342.67 and 30,363.38

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Solution

The fourth proportional to 47,356.10, 65,342.67 and 30,363.38 is: 41,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356.10 : 65,342.67 = 30,363.38 : x
  2. Step 2: Convert to fraction form
    47,356.10/65,342.67 = 30,363.38/x
  3. Step 3: Cross multiply
    47,356.10x = 65,342.67 × 30,363.38
  4. Step 4: Simplify right side
    47,356.10x = 1,984,024,319.42
  5. Step 5: Solve for x
    x = 1,984,024,319.42/47,356.10
  6. Step 6: Final answer
    x = 41,895.86

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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.