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Finding the Fourth Proportional to 39,146.08, 54,020.64 and 22,378

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Solution

The fourth proportional to 39,146.08, 54,020.64 and 22,378 is: 30,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,146.08 : 54,020.64 = 22,378 : x
  2. Step 2: Convert to fraction form
    39,146.08/54,020.64 = 22,378/x
  3. Step 3: Cross multiply
    39,146.08x = 54,020.64 × 22,378
  4. Step 4: Simplify right side
    39,146.08x = 1,208,873,881.92
  5. Step 5: Solve for x
    x = 1,208,873,881.92/39,146.08
  6. Step 6: Final answer
    x = 30,881.10

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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.