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Finding the Fourth Proportional to 35,689.44, 49,275.36 and 31,900.44

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Solution

The fourth proportional to 35,689.44, 49,275.36 and 31,900.44 is: 44,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.44 : 49,275.36 = 31,900.44 : x
  2. Step 2: Convert to fraction form
    35,689.44/49,275.36 = 31,900.44/x
  3. Step 3: Cross multiply
    35,689.44x = 49,275.36 × 31,900.44
  4. Step 4: Simplify right side
    35,689.44x = 1,571,905,665.16
  5. Step 5: Solve for x
    x = 1,571,905,665.16/35,689.44
  6. Step 6: Final answer
    x = 44,044.00

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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.