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Finding the Fourth Proportional to 39,150.08, 54,026.16 and 22,382

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Solution

The fourth proportional to 39,150.08, 54,026.16 and 22,382 is: 30,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150.08 : 54,026.16 = 22,382 : x
  2. Step 2: Convert to fraction form
    39,150.08/54,026.16 = 22,382/x
  3. Step 3: Cross multiply
    39,150.08x = 54,026.16 × 22,382
  4. Step 4: Simplify right side
    39,150.08x = 1,209,213,513.12
  5. Step 5: Solve for x
    x = 1,209,213,513.12/39,150.08
  6. Step 6: Final answer
    x = 30,886.62

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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.