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Finding the Fourth Proportional to 45,854.75, 63,206.42 and 36,148.38

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Solution

The fourth proportional to 45,854.75, 63,206.42 and 36,148.38 is: 49,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,854.75 : 63,206.42 = 36,148.38 : x
  2. Step 2: Convert to fraction form
    45,854.75/63,206.42 = 36,148.38/x
  3. Step 3: Cross multiply
    45,854.75x = 63,206.42 × 36,148.38
  4. Step 4: Simplify right side
    45,854.75x = 2,284,809,507.86
  5. Step 5: Solve for x
    x = 2,284,809,507.86/45,854.75
  6. Step 6: Final answer
    x = 49,827.11

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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.