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Finding the Fourth Proportional to 107,602.26, 161,429.32 and 33,730.26

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Solution

The fourth proportional to 107,602.26, 161,429.32 and 33,730.26 is: 50,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,602.26 : 161,429.32 = 33,730.26 : x
  2. Step 2: Convert to fraction form
    107,602.26/161,429.32 = 33,730.26/x
  3. Step 3: Cross multiply
    107,602.26x = 161,429.32 × 33,730.26
  4. Step 4: Simplify right side
    107,602.26x = 5,445,052,935.22
  5. Step 5: Solve for x
    x = 5,445,052,935.22/107,602.26
  6. Step 6: Final answer
    x = 50,603.52

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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.