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Finding the Fourth Proportional to 31,398.84, 47,105.10 and 10,341

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Solution

The fourth proportional to 31,398.84, 47,105.10 and 10,341 is: 15,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.84 : 47,105.10 = 10,341 : x
  2. Step 2: Convert to fraction form
    31,398.84/47,105.10 = 10,341/x
  3. Step 3: Cross multiply
    31,398.84x = 47,105.10 × 10,341
  4. Step 4: Simplify right side
    31,398.84x = 487,113,839.10
  5. Step 5: Solve for x
    x = 487,113,839.10/31,398.84
  6. Step 6: Final answer
    x = 15,513.75

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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.