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Finding the Fourth Proportional to 110,706.84, 166,093.47 and 51,577.65

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Solution

The fourth proportional to 110,706.84, 166,093.47 and 51,577.65 is: 77,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,706.84 : 166,093.47 = 51,577.65 : x
  2. Step 2: Convert to fraction form
    110,706.84/166,093.47 = 51,577.65/x
  3. Step 3: Cross multiply
    110,706.84x = 166,093.47 × 51,577.65
  4. Step 4: Simplify right side
    110,706.84x = 8,566,710,862.95
  5. Step 5: Solve for x
    x = 8,566,710,862.95/110,706.84
  6. Step 6: Final answer
    x = 77,381.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.