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Finding the Fourth Proportional to 81,497.89, 122,259.80 and 34,751.17

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Solution

The fourth proportional to 81,497.89, 122,259.80 and 34,751.17 is: 52,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,497.89 : 122,259.80 = 34,751.17 : x
  2. Step 2: Convert to fraction form
    81,497.89/122,259.80 = 34,751.17/x
  3. Step 3: Cross multiply
    81,497.89x = 122,259.80 × 34,751.17
  4. Step 4: Simplify right side
    81,497.89x = 4,248,671,093.97
  5. Step 5: Solve for x
    x = 4,248,671,093.97/81,497.89
  6. Step 6: Final answer
    x = 52,132.28

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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.