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Finding the Fourth Proportional to 31,522.28, 47,278.94 and 11,798.12

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Solution

The fourth proportional to 31,522.28, 47,278.94 and 11,798.12 is: 17,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522.28 : 47,278.94 = 11,798.12 : x
  2. Step 2: Convert to fraction form
    31,522.28/47,278.94 = 11,798.12/x
  3. Step 3: Cross multiply
    31,522.28x = 47,278.94 × 11,798.12
  4. Step 4: Simplify right side
    31,522.28x = 557,802,607.59
  5. Step 5: Solve for x
    x = 557,802,607.59/31,522.28
  6. Step 6: Final answer
    x = 17,695.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.