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Finding the Fourth Proportional to 32,016.96, 48,012.48 and 13,536

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Solution

The fourth proportional to 32,016.96, 48,012.48 and 13,536 is: 20,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.96 : 48,012.48 = 13,536 : x
  2. Step 2: Convert to fraction form
    32,016.96/48,012.48 = 13,536/x
  3. Step 3: Cross multiply
    32,016.96x = 48,012.48 × 13,536
  4. Step 4: Simplify right side
    32,016.96x = 649,896,929.28
  5. Step 5: Solve for x
    x = 649,896,929.28/32,016.96
  6. Step 6: Final answer
    x = 20,298.52

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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.