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Finding the Fourth Proportional to 30,470.08, 45,710.54 and 10,760.08

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Solution

The fourth proportional to 30,470.08, 45,710.54 and 10,760.08 is: 16,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.08 : 45,710.54 = 10,760.08 : x
  2. Step 2: Convert to fraction form
    30,470.08/45,710.54 = 10,760.08/x
  3. Step 3: Cross multiply
    30,470.08x = 45,710.54 × 10,760.08
  4. Step 4: Simplify right side
    30,470.08x = 491,849,067.24
  5. Step 5: Solve for x
    x = 491,849,067.24/30,470.08
  6. Step 6: Final answer
    x = 16,142.03

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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.