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Finding the Fourth Proportional to 31,892.81, 47,849.47 and 9,710.48

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Solution

The fourth proportional to 31,892.81, 47,849.47 and 9,710.48 is: 14,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.81 : 47,849.47 = 9,710.48 : x
  2. Step 2: Convert to fraction form
    31,892.81/47,849.47 = 9,710.48/x
  3. Step 3: Cross multiply
    31,892.81x = 47,849.47 × 9,710.48
  4. Step 4: Simplify right side
    31,892.81x = 464,641,416.79
  5. Step 5: Solve for x
    x = 464,641,416.79/31,892.81
  6. Step 6: Final answer
    x = 14,568.85

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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.