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Finding the Fourth Proportional to 107,656, 161,510.10 and 33,784

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Solution

The fourth proportional to 107,656, 161,510.10 and 33,784 is: 50,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,656 : 161,510.10 = 33,784 : x
  2. Step 2: Convert to fraction form
    107,656/161,510.10 = 33,784/x
  3. Step 3: Cross multiply
    107,656x = 161,510.10 × 33,784
  4. Step 4: Simplify right side
    107,656x = 5,456,457,218.40
  5. Step 5: Solve for x
    x = 5,456,457,218.40/107,656
  6. Step 6: Final answer
    x = 50,684.19

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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.