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Finding the Fourth Proportional to 30,574.58, 42,191.08 and 17,143.16

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Solution

The fourth proportional to 30,574.58, 42,191.08 and 17,143.16 is: 23,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.58 : 42,191.08 = 17,143.16 : x
  2. Step 2: Convert to fraction form
    30,574.58/42,191.08 = 17,143.16/x
  3. Step 3: Cross multiply
    30,574.58x = 42,191.08 × 17,143.16
  4. Step 4: Simplify right side
    30,574.58x = 723,288,181.20
  5. Step 5: Solve for x
    x = 723,288,181.20/30,574.58
  6. Step 6: Final answer
    x = 23,656.52

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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.