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Finding the Fourth Proportional to 30,277.25, 45,423.17 and 9,500.75

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Solution

The fourth proportional to 30,277.25, 45,423.17 and 9,500.75 is: 14,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.25 : 45,423.17 = 9,500.75 : x
  2. Step 2: Convert to fraction form
    30,277.25/45,423.17 = 9,500.75/x
  3. Step 3: Cross multiply
    30,277.25x = 45,423.17 × 9,500.75
  4. Step 4: Simplify right side
    30,277.25x = 431,554,182.38
  5. Step 5: Solve for x
    x = 431,554,182.38/30,277.25
  6. Step 6: Final answer
    x = 14,253.41

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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.