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Finding the Fourth Proportional to 31,793.48, 43,875 and 17,646.32

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Solution

The fourth proportional to 31,793.48, 43,875 and 17,646.32 is: 24,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.48 : 43,875 = 17,646.32 : x
  2. Step 2: Convert to fraction form
    31,793.48/43,875 = 17,646.32/x
  3. Step 3: Cross multiply
    31,793.48x = 43,875 × 17,646.32
  4. Step 4: Simplify right side
    31,793.48x = 774,232,290
  5. Step 5: Solve for x
    x = 774,232,290/31,793.48
  6. Step 6: Final answer
    x = 24,351.92

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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.