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Finding the Fourth Proportional to 61,724.84, 85,180.30 and 33,430.53

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Solution

The fourth proportional to 61,724.84, 85,180.30 and 33,430.53 is: 46,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,724.84 : 85,180.30 = 33,430.53 : x
  2. Step 2: Convert to fraction form
    61,724.84/85,180.30 = 33,430.53/x
  3. Step 3: Cross multiply
    61,724.84x = 85,180.30 × 33,430.53
  4. Step 4: Simplify right side
    61,724.84x = 2,847,622,574.56
  5. Step 5: Solve for x
    x = 2,847,622,574.56/61,724.84
  6. Step 6: Final answer
    x = 46,134.14

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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.