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Finding the Fourth Proportional to 117,066.90, 175,582.53 and 38,181

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Solution

The fourth proportional to 117,066.90, 175,582.53 and 38,181 is: 57,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,066.90 : 175,582.53 = 38,181 : x
  2. Step 2: Convert to fraction form
    117,066.90/175,582.53 = 38,181/x
  3. Step 3: Cross multiply
    117,066.90x = 175,582.53 × 38,181
  4. Step 4: Simplify right side
    117,066.90x = 6,703,916,577.93
  5. Step 5: Solve for x
    x = 6,703,916,577.93/117,066.90
  6. Step 6: Final answer
    x = 57,265.69

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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.