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Finding the Fourth Proportional to 32,098.78, 48,148.32 and 11,322.28

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Solution

The fourth proportional to 32,098.78, 48,148.32 and 11,322.28 is: 16,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.78 : 48,148.32 = 11,322.28 : x
  2. Step 2: Convert to fraction form
    32,098.78/48,148.32 = 11,322.28/x
  3. Step 3: Cross multiply
    32,098.78x = 48,148.32 × 11,322.28
  4. Step 4: Simplify right side
    32,098.78x = 545,148,863.21
  5. Step 5: Solve for x
    x = 545,148,863.21/32,098.78
  6. Step 6: Final answer
    x = 16,983.48

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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.