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Finding the Fourth Proportional to 39,746.58, 54,838.31 and 23,825.22

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Solution

The fourth proportional to 39,746.58, 54,838.31 and 23,825.22 is: 32,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746.58 : 54,838.31 = 23,825.22 : x
  2. Step 2: Convert to fraction form
    39,746.58/54,838.31 = 23,825.22/x
  3. Step 3: Cross multiply
    39,746.58x = 54,838.31 × 23,825.22
  4. Step 4: Simplify right side
    39,746.58x = 1,306,534,585.55
  5. Step 5: Solve for x
    x = 1,306,534,585.55/39,746.58
  6. Step 6: Final answer
    x = 32,871.63

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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.