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Finding the Fourth Proportional to 39,406.16, 54,382.02 and 22,411.95

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Solution

The fourth proportional to 39,406.16, 54,382.02 and 22,411.95 is: 30,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,406.16 : 54,382.02 = 22,411.95 : x
  2. Step 2: Convert to fraction form
    39,406.16/54,382.02 = 22,411.95/x
  3. Step 3: Cross multiply
    39,406.16x = 54,382.02 × 22,411.95
  4. Step 4: Simplify right side
    39,406.16x = 1,218,807,113.14
  5. Step 5: Solve for x
    x = 1,218,807,113.14/39,406.16
  6. Step 6: Final answer
    x = 30,929.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.