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Finding the Fourth Proportional to 32,154.12, 48,073.50 and 27,278.28

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Solution

The fourth proportional to 32,154.12, 48,073.50 and 27,278.28 is: 40,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.12 : 48,073.50 = 27,278.28 : x
  2. Step 2: Convert to fraction form
    32,154.12/48,073.50 = 27,278.28/x
  3. Step 3: Cross multiply
    32,154.12x = 48,073.50 × 27,278.28
  4. Step 4: Simplify right side
    32,154.12x = 1,311,362,393.58
  5. Step 5: Solve for x
    x = 1,311,362,393.58/32,154.12
  6. Step 6: Final answer
    x = 40,783.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.