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Finding the Fourth Proportional to 31,383.32, 43,348 and 23,461.52

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Solution

The fourth proportional to 31,383.32, 43,348 and 23,461.52 is: 32,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.32 : 43,348 = 23,461.52 : x
  2. Step 2: Convert to fraction form
    31,383.32/43,348 = 23,461.52/x
  3. Step 3: Cross multiply
    31,383.32x = 43,348 × 23,461.52
  4. Step 4: Simplify right side
    31,383.32x = 1,017,009,968.96
  5. Step 5: Solve for x
    x = 1,017,009,968.96/31,383.32
  6. Step 6: Final answer
    x = 32,406.07

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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.