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Finding the Fourth Proportional to 60,309.84, 83,232.70 and 33,461

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Solution

The fourth proportional to 60,309.84, 83,232.70 and 33,461 is: 46,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,309.84 : 83,232.70 = 33,461 : x
  2. Step 2: Convert to fraction form
    60,309.84/83,232.70 = 33,461/x
  3. Step 3: Cross multiply
    60,309.84x = 83,232.70 × 33,461
  4. Step 4: Simplify right side
    60,309.84x = 2,785,049,374.70
  5. Step 5: Solve for x
    x = 2,785,049,374.70/60,309.84
  6. Step 6: Final answer
    x = 46,179.02

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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.