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Finding the Fourth Proportional to 35,689.38, 49,229.02 and 22,959.16

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Solution

The fourth proportional to 35,689.38, 49,229.02 and 22,959.16 is: 31,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.38 : 49,229.02 = 22,959.16 : x
  2. Step 2: Convert to fraction form
    35,689.38/49,229.02 = 22,959.16/x
  3. Step 3: Cross multiply
    35,689.38x = 49,229.02 × 22,959.16
  4. Step 4: Simplify right side
    35,689.38x = 1,130,256,946.82
  5. Step 5: Solve for x
    x = 1,130,256,946.82/35,689.38
  6. Step 6: Final answer
    x = 31,669.28

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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.