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Finding the Fourth Proportional to 110,565, 165,873.42 and 36,693

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Solution

The fourth proportional to 110,565, 165,873.42 and 36,693 is: 55,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565 : 165,873.42 = 36,693 : x
  2. Step 2: Convert to fraction form
    110,565/165,873.42 = 36,693/x
  3. Step 3: Cross multiply
    110,565x = 165,873.42 × 36,693
  4. Step 4: Simplify right side
    110,565x = 6,086,393,400.06
  5. Step 5: Solve for x
    x = 6,086,393,400.06/110,565
  6. Step 6: Final answer
    x = 55,048.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.