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Finding the Fourth Proportional to 61,722.84, 85,177.54 and 33,428.53

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Solution

The fourth proportional to 61,722.84, 85,177.54 and 33,428.53 is: 46,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,722.84 : 85,177.54 = 33,428.53 : x
  2. Step 2: Convert to fraction form
    61,722.84/85,177.54 = 33,428.53/x
  3. Step 3: Cross multiply
    61,722.84x = 85,177.54 × 33,428.53
  4. Step 4: Simplify right side
    61,722.84x = 2,847,360,099.47
  5. Step 5: Solve for x
    x = 2,847,360,099.47/61,722.84
  6. Step 6: Final answer
    x = 46,131.38

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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.