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Finding the Fourth Proportional to 83,562, 115,301.40 and 55,252.56

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Solution

The fourth proportional to 83,562, 115,301.40 and 55,252.56 is: 76,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,562 : 115,301.40 = 55,252.56 : x
  2. Step 2: Convert to fraction form
    83,562/115,301.40 = 55,252.56/x
  3. Step 3: Cross multiply
    83,562x = 115,301.40 × 55,252.56
  4. Step 4: Simplify right side
    83,562x = 6,370,697,521.58
  5. Step 5: Solve for x
    x = 6,370,697,521.58/83,562
  6. Step 6: Final answer
    x = 76,239.17

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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.