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Finding the Fourth Proportional to 53,377.65, 80,066.43 and 50,130

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Solution

The fourth proportional to 53,377.65, 80,066.43 and 50,130 is: 75,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,377.65 : 80,066.43 = 50,130 : x
  2. Step 2: Convert to fraction form
    53,377.65/80,066.43 = 50,130/x
  3. Step 3: Cross multiply
    53,377.65x = 80,066.43 × 50,130
  4. Step 4: Simplify right side
    53,377.65x = 4,013,730,135.90
  5. Step 5: Solve for x
    x = 4,013,730,135.90/53,377.65
  6. Step 6: Final answer
    x = 75,194.96

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