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Finding the Fourth Proportional to 32,387.16, 48,568.02 and 15,742.32

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Solution

The fourth proportional to 32,387.16, 48,568.02 and 15,742.32 is: 23,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.16 : 48,568.02 = 15,742.32 : x
  2. Step 2: Convert to fraction form
    32,387.16/48,568.02 = 15,742.32/x
  3. Step 3: Cross multiply
    32,387.16x = 48,568.02 × 15,742.32
  4. Step 4: Simplify right side
    32,387.16x = 764,573,312.61
  5. Step 5: Solve for x
    x = 764,573,312.61/32,387.16
  6. Step 6: Final answer
    x = 23,607.30

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Why These Related Problems?

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