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Finding the Fourth Proportional to 32,167.32, 48,248.66 and 9,980.12

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Solution

The fourth proportional to 32,167.32, 48,248.66 and 9,980.12 is: 14,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.32 : 48,248.66 = 9,980.12 : x
  2. Step 2: Convert to fraction form
    32,167.32/48,248.66 = 9,980.12/x
  3. Step 3: Cross multiply
    32,167.32x = 48,248.66 × 9,980.12
  4. Step 4: Simplify right side
    32,167.32x = 481,527,200.35
  5. Step 5: Solve for x
    x = 481,527,200.35/32,167.32
  6. Step 6: Final answer
    x = 14,969.45

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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.