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Finding the Fourth Proportional to 32,013.09, 48,018.40 and 8,640.13

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Solution

The fourth proportional to 32,013.09, 48,018.40 and 8,640.13 is: 12,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.09 : 48,018.40 = 8,640.13 : x
  2. Step 2: Convert to fraction form
    32,013.09/48,018.40 = 8,640.13/x
  3. Step 3: Cross multiply
    32,013.09x = 48,018.40 × 8,640.13
  4. Step 4: Simplify right side
    32,013.09x = 414,885,218.39
  5. Step 5: Solve for x
    x = 414,885,218.39/32,013.09
  6. Step 6: Final answer
    x = 12,959.86

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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.