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Finding the Fourth Proportional to 30,538.62, 42,146.01 and 17,109.79

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Solution

The fourth proportional to 30,538.62, 42,146.01 and 17,109.79 is: 23,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.62 : 42,146.01 = 17,109.79 : x
  2. Step 2: Convert to fraction form
    30,538.62/42,146.01 = 17,109.79/x
  3. Step 3: Cross multiply
    30,538.62x = 42,146.01 × 17,109.79
  4. Step 4: Simplify right side
    30,538.62x = 721,109,275.07
  5. Step 5: Solve for x
    x = 721,109,275.07/30,538.62
  6. Step 6: Final answer
    x = 23,613.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.