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Finding the Fourth Proportional to 43,714.56, 60,322.80 and 24,848

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Solution

The fourth proportional to 43,714.56, 60,322.80 and 24,848 is: 34,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714.56 : 60,322.80 = 24,848 : x
  2. Step 2: Convert to fraction form
    43,714.56/60,322.80 = 24,848/x
  3. Step 3: Cross multiply
    43,714.56x = 60,322.80 × 24,848
  4. Step 4: Simplify right side
    43,714.56x = 1,498,900,934.40
  5. Step 5: Solve for x
    x = 1,498,900,934.40/43,714.56
  6. Step 6: Final answer
    x = 34,288.37

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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.