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Finding the Fourth Proportional to 32,040.30, 48,090 and 16,256.40

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Solution

The fourth proportional to 32,040.30, 48,090 and 16,256.40 is: 24,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,040.30 : 48,090 = 16,256.40 : x
  2. Step 2: Convert to fraction form
    32,040.30/48,090 = 16,256.40/x
  3. Step 3: Cross multiply
    32,040.30x = 48,090 × 16,256.40
  4. Step 4: Simplify right side
    32,040.30x = 781,770,276
  5. Step 5: Solve for x
    x = 781,770,276/32,040.30
  6. Step 6: Final answer
    x = 24,399.59

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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.