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Finding the Fourth Proportional to 56,143.50, 77,478.18 and 30,993

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Solution

The fourth proportional to 56,143.50, 77,478.18 and 30,993 is: 42,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.50 : 77,478.18 = 30,993 : x
  2. Step 2: Convert to fraction form
    56,143.50/77,478.18 = 30,993/x
  3. Step 3: Cross multiply
    56,143.50x = 77,478.18 × 30,993
  4. Step 4: Simplify right side
    56,143.50x = 2,401,281,232.74
  5. Step 5: Solve for x
    x = 2,401,281,232.74/56,143.50
  6. Step 6: Final answer
    x = 42,770.42

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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.