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Finding the Fourth Proportional to 32,427.08, 48,640.32 and 9,053.48

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Solution

The fourth proportional to 32,427.08, 48,640.32 and 9,053.48 is: 13,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.08 : 48,640.32 = 9,053.48 : x
  2. Step 2: Convert to fraction form
    32,427.08/48,640.32 = 9,053.48/x
  3. Step 3: Cross multiply
    32,427.08x = 48,640.32 × 9,053.48
  4. Step 4: Simplify right side
    32,427.08x = 440,364,164.31
  5. Step 5: Solve for x
    x = 440,364,164.31/32,427.08
  6. Step 6: Final answer
    x = 13,580.14

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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.