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Finding the Fourth Proportional to 110,058.98, 165,080.39 and 35,159.01

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Solution

The fourth proportional to 110,058.98, 165,080.39 and 35,159.01 is: 52,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,058.98 : 165,080.39 = 35,159.01 : x
  2. Step 2: Convert to fraction form
    110,058.98/165,080.39 = 35,159.01/x
  3. Step 3: Cross multiply
    110,058.98x = 165,080.39 × 35,159.01
  4. Step 4: Simplify right side
    110,058.98x = 5,804,062,907.02
  5. Step 5: Solve for x
    x = 5,804,062,907.02/110,058.98
  6. Step 6: Final answer
    x = 52,735.93

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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.