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Finding the Fourth Proportional to 31,578.72, 47,358.21 and 10,513.84

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Solution

The fourth proportional to 31,578.72, 47,358.21 and 10,513.84 is: 15,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.72 : 47,358.21 = 10,513.84 : x
  2. Step 2: Convert to fraction form
    31,578.72/47,358.21 = 10,513.84/x
  3. Step 3: Cross multiply
    31,578.72x = 47,358.21 × 10,513.84
  4. Step 4: Simplify right side
    31,578.72x = 497,916,642.63
  5. Step 5: Solve for x
    x = 497,916,642.63/31,578.72
  6. Step 6: Final answer
    x = 15,767.47

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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.