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Finding the Fourth Proportional to 31,744, 43,746.32 and 23,248.72

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Solution

The fourth proportional to 31,744, 43,746.32 and 23,248.72 is: 32,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744 : 43,746.32 = 23,248.72 : x
  2. Step 2: Convert to fraction form
    31,744/43,746.32 = 23,248.72/x
  3. Step 3: Cross multiply
    31,744x = 43,746.32 × 23,248.72
  4. Step 4: Simplify right side
    31,744x = 1,017,045,944.71
  5. Step 5: Solve for x
    x = 1,017,045,944.71/31,744
  6. Step 6: Final answer
    x = 32,039.00

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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.