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Finding the Fourth Proportional to 32,407.32, 48,526.74 and 27,757.20

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Solution

The fourth proportional to 32,407.32, 48,526.74 and 27,757.20 is: 41,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.32 : 48,526.74 = 27,757.20 : x
  2. Step 2: Convert to fraction form
    32,407.32/48,526.74 = 27,757.20/x
  3. Step 3: Cross multiply
    32,407.32x = 48,526.74 × 27,757.20
  4. Step 4: Simplify right side
    32,407.32x = 1,346,966,427.53
  5. Step 5: Solve for x
    x = 1,346,966,427.53/32,407.32
  6. Step 6: Final answer
    x = 41,563.65

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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.