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Finding the Fourth Proportional to 107,653, 161,505.60 and 33,781

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Solution

The fourth proportional to 107,653, 161,505.60 and 33,781 is: 50,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,653 : 161,505.60 = 33,781 : x
  2. Step 2: Convert to fraction form
    107,653/161,505.60 = 33,781/x
  3. Step 3: Cross multiply
    107,653x = 161,505.60 × 33,781
  4. Step 4: Simplify right side
    107,653x = 5,455,820,673.60
  5. Step 5: Solve for x
    x = 5,455,820,673.60/107,653
  6. Step 6: Final answer
    x = 50,679.69

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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.