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Finding the Fourth Proportional to 188,952.75, 283,445.53 and 48,711.38

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Solution

The fourth proportional to 188,952.75, 283,445.53 and 48,711.38 is: 73,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,952.75 : 283,445.53 = 48,711.38 : x
  2. Step 2: Convert to fraction form
    188,952.75/283,445.53 = 48,711.38/x
  3. Step 3: Cross multiply
    188,952.75x = 283,445.53 × 48,711.38
  4. Step 4: Simplify right side
    188,952.75x = 13,807,021,382.13
  5. Step 5: Solve for x
    x = 13,807,021,382.13/188,952.75
  6. Step 6: Final answer
    x = 73,071.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.