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Finding the Fourth Proportional to 32,945.52, 45,464.64 and 17,838

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Solution

The fourth proportional to 32,945.52, 45,464.64 and 17,838 is: 24,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945.52 : 45,464.64 = 17,838 : x
  2. Step 2: Convert to fraction form
    32,945.52/45,464.64 = 17,838/x
  3. Step 3: Cross multiply
    32,945.52x = 45,464.64 × 17,838
  4. Step 4: Simplify right side
    32,945.52x = 810,998,248.32
  5. Step 5: Solve for x
    x = 810,998,248.32/32,945.52
  6. Step 6: Final answer
    x = 24,616.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.