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Finding the Fourth Proportional to 31,507.27, 47,259.68 and 7,814.87

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Solution

The fourth proportional to 31,507.27, 47,259.68 and 7,814.87 is: 11,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.27 : 47,259.68 = 7,814.87 : x
  2. Step 2: Convert to fraction form
    31,507.27/47,259.68 = 7,814.87/x
  3. Step 3: Cross multiply
    31,507.27x = 47,259.68 × 7,814.87
  4. Step 4: Simplify right side
    31,507.27x = 369,328,363.82
  5. Step 5: Solve for x
    x = 369,328,363.82/31,507.27
  6. Step 6: Final answer
    x = 11,722.01

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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.