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Finding the Fourth Proportional to 32,214.96, 48,329.16 and 10,031.28

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Solution

The fourth proportional to 32,214.96, 48,329.16 and 10,031.28 is: 15,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.96 : 48,329.16 = 10,031.28 : x
  2. Step 2: Convert to fraction form
    32,214.96/48,329.16 = 10,031.28/x
  3. Step 3: Cross multiply
    32,214.96x = 48,329.16 × 10,031.28
  4. Step 4: Simplify right side
    32,214.96x = 484,803,336.12
  5. Step 5: Solve for x
    x = 484,803,336.12/32,214.96
  6. Step 6: Final answer
    x = 15,049.01

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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.