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Finding the Fourth Proportional to 39,722.24, 54,810.60 and 22,952

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Solution

The fourth proportional to 39,722.24, 54,810.60 and 22,952 is: 31,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,722.24 : 54,810.60 = 22,952 : x
  2. Step 2: Convert to fraction form
    39,722.24/54,810.60 = 22,952/x
  3. Step 3: Cross multiply
    39,722.24x = 54,810.60 × 22,952
  4. Step 4: Simplify right side
    39,722.24x = 1,258,012,891.20
  5. Step 5: Solve for x
    x = 1,258,012,891.20/39,722.24
  6. Step 6: Final answer
    x = 31,670.24

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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.