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Finding the Fourth Proportional to 34,957.84, 48,242.28 and 19,849.36

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Solution

The fourth proportional to 34,957.84, 48,242.28 and 19,849.36 is: 27,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,957.84 : 48,242.28 = 19,849.36 : x
  2. Step 2: Convert to fraction form
    34,957.84/48,242.28 = 19,849.36/x
  3. Step 3: Cross multiply
    34,957.84x = 48,242.28 × 19,849.36
  4. Step 4: Simplify right side
    34,957.84x = 957,578,382.94
  5. Step 5: Solve for x
    x = 957,578,382.94/34,957.84
  6. Step 6: Final answer
    x = 27,392.38

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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.