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Finding the Fourth Proportional to 32,167.20, 48,254.40 and 9,980.40

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Solution

The fourth proportional to 32,167.20, 48,254.40 and 9,980.40 is: 14,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.20 : 48,254.40 = 9,980.40 : x
  2. Step 2: Convert to fraction form
    32,167.20/48,254.40 = 9,980.40/x
  3. Step 3: Cross multiply
    32,167.20x = 48,254.40 × 9,980.40
  4. Step 4: Simplify right side
    32,167.20x = 481,598,213.76
  5. Step 5: Solve for x
    x = 481,598,213.76/32,167.20
  6. Step 6: Final answer
    x = 14,971.72

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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.