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Finding the Fourth Proportional to 110,563, 165,870.42 and 36,691

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Solution

The fourth proportional to 110,563, 165,870.42 and 36,691 is: 55,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,563 : 165,870.42 = 36,691 : x
  2. Step 2: Convert to fraction form
    110,563/165,870.42 = 36,691/x
  3. Step 3: Cross multiply
    110,563x = 165,870.42 × 36,691
  4. Step 4: Simplify right side
    110,563x = 6,085,951,580.22
  5. Step 5: Solve for x
    x = 6,085,951,580.22/110,563
  6. Step 6: Final answer
    x = 55,045.10

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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.