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Finding the Fourth Proportional to 32,211.64, 48,322.02 and 10,027.26

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Solution

The fourth proportional to 32,211.64, 48,322.02 and 10,027.26 is: 15,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,211.64 : 48,322.02 = 10,027.26 : x
  2. Step 2: Convert to fraction form
    32,211.64/48,322.02 = 10,027.26/x
  3. Step 3: Cross multiply
    32,211.64x = 48,322.02 × 10,027.26
  4. Step 4: Simplify right side
    32,211.64x = 484,537,312.39
  5. Step 5: Solve for x
    x = 484,537,312.39/32,211.64
  6. Step 6: Final answer
    x = 15,042.30

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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.