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Finding the Fourth Proportional to 107,685, 161,533.98 and 33,813

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Solution

The fourth proportional to 107,685, 161,533.98 and 33,813 is: 50,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,685 : 161,533.98 = 33,813 : x
  2. Step 2: Convert to fraction form
    107,685/161,533.98 = 33,813/x
  3. Step 3: Cross multiply
    107,685x = 161,533.98 × 33,813
  4. Step 4: Simplify right side
    107,685x = 5,461,948,465.74
  5. Step 5: Solve for x
    x = 5,461,948,465.74/107,685
  6. Step 6: Final answer
    x = 50,721.53

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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.