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Finding the Fourth Proportional to 35,541.16, 49,046.80 and 19,625.64

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Solution

The fourth proportional to 35,541.16, 49,046.80 and 19,625.64 is: 27,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,541.16 : 49,046.80 = 19,625.64 : x
  2. Step 2: Convert to fraction form
    35,541.16/49,046.80 = 19,625.64/x
  3. Step 3: Cross multiply
    35,541.16x = 49,046.80 × 19,625.64
  4. Step 4: Simplify right side
    35,541.16x = 962,574,839.95
  5. Step 5: Solve for x
    x = 962,574,839.95/35,541.16
  6. Step 6: Final answer
    x = 27,083.38

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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.