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Finding the Fourth Proportional to 31,340.39, 47,011.03 and 10,282.08

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Solution

The fourth proportional to 31,340.39, 47,011.03 and 10,282.08 is: 15,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.39 : 47,011.03 = 10,282.08 : x
  2. Step 2: Convert to fraction form
    31,340.39/47,011.03 = 10,282.08/x
  3. Step 3: Cross multiply
    31,340.39x = 47,011.03 × 10,282.08
  4. Step 4: Simplify right side
    31,340.39x = 483,371,145.64
  5. Step 5: Solve for x
    x = 483,371,145.64/31,340.39
  6. Step 6: Final answer
    x = 15,423.27

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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.