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Finding the Fourth Proportional to 50,543.90, 69,764.46 and 29,330

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Solution

The fourth proportional to 50,543.90, 69,764.46 and 29,330 is: 40,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,543.90 : 69,764.46 = 29,330 : x
  2. Step 2: Convert to fraction form
    50,543.90/69,764.46 = 29,330/x
  3. Step 3: Cross multiply
    50,543.90x = 69,764.46 × 29,330
  4. Step 4: Simplify right side
    50,543.90x = 2,046,191,611.80
  5. Step 5: Solve for x
    x = 2,046,191,611.80/50,543.90
  6. Step 6: Final answer
    x = 40,483.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.