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Finding the Fourth Proportional to 55,861.56, 77,089.20 and 30,711

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Solution

The fourth proportional to 55,861.56, 77,089.20 and 30,711 is: 42,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,861.56 : 77,089.20 = 30,711 : x
  2. Step 2: Convert to fraction form
    55,861.56/77,089.20 = 30,711/x
  3. Step 3: Cross multiply
    55,861.56x = 77,089.20 × 30,711
  4. Step 4: Simplify right side
    55,861.56x = 2,367,486,421.20
  5. Step 5: Solve for x
    x = 2,367,486,421.20/55,861.56
  6. Step 6: Final answer
    x = 42,381.32

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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.