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Finding the Fourth Proportional to 39,720, 54,823.50 and 22,962.72

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Solution

The fourth proportional to 39,720, 54,823.50 and 22,962.72 is: 31,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720 : 54,823.50 = 22,962.72 : x
  2. Step 2: Convert to fraction form
    39,720/54,823.50 = 22,962.72/x
  3. Step 3: Cross multiply
    39,720x = 54,823.50 × 22,962.72
  4. Step 4: Simplify right side
    39,720x = 1,258,896,679.92
  5. Step 5: Solve for x
    x = 1,258,896,679.92/39,720
  6. Step 6: Final answer
    x = 31,694.28

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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.