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Finding the Fourth Proportional to 110,032.16, 151,843.21 and 59,731.16

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Solution

The fourth proportional to 110,032.16, 151,843.21 and 59,731.16 is: 82,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,032.16 : 151,843.21 = 59,731.16 : x
  2. Step 2: Convert to fraction form
    110,032.16/151,843.21 = 59,731.16/x
  3. Step 3: Cross multiply
    110,032.16x = 151,843.21 × 59,731.16
  4. Step 4: Simplify right side
    110,032.16x = 9,069,770,162.88
  5. Step 5: Solve for x
    x = 9,069,770,162.88/110,032.16
  6. Step 6: Final answer
    x = 82,428.36

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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.