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Finding the Fourth Proportional to 32,108.40, 48,164.49 and 12,387.06

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Solution

The fourth proportional to 32,108.40, 48,164.49 and 12,387.06 is: 18,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.40 : 48,164.49 = 12,387.06 : x
  2. Step 2: Convert to fraction form
    32,108.40/48,164.49 = 12,387.06/x
  3. Step 3: Cross multiply
    32,108.40x = 48,164.49 × 12,387.06
  4. Step 4: Simplify right side
    32,108.40x = 596,616,427.50
  5. Step 5: Solve for x
    x = 596,616,427.50/32,108.40
  6. Step 6: Final answer
    x = 18,581.32

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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.