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Finding the Fourth Proportional to 55,974, 77,244.12 and 30,823.50

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Solution

The fourth proportional to 55,974, 77,244.12 and 30,823.50 is: 42,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974 : 77,244.12 = 30,823.50 : x
  2. Step 2: Convert to fraction form
    55,974/77,244.12 = 30,823.50/x
  3. Step 3: Cross multiply
    55,974x = 77,244.12 × 30,823.50
  4. Step 4: Simplify right side
    55,974x = 2,380,934,132.82
  5. Step 5: Solve for x
    x = 2,380,934,132.82/55,974
  6. Step 6: Final answer
    x = 42,536.43

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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.