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Finding the Fourth Proportional to 81,159.84, 121,674.20 and 33,810.60

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Solution

The fourth proportional to 81,159.84, 121,674.20 and 33,810.60 is: 50,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,159.84 : 121,674.20 = 33,810.60 : x
  2. Step 2: Convert to fraction form
    81,159.84/121,674.20 = 33,810.60/x
  3. Step 3: Cross multiply
    81,159.84x = 121,674.20 × 33,810.60
  4. Step 4: Simplify right side
    81,159.84x = 4,113,878,012.83
  5. Step 5: Solve for x
    x = 4,113,878,012.83/81,159.84
  6. Step 6: Final answer
    x = 50,688.59

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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.