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Finding the Fourth Proportional to 31,372.99, 47,016.72 and 17,312.06

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Solution

The fourth proportional to 31,372.99, 47,016.72 and 17,312.06 is: 25,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.99 : 47,016.72 = 17,312.06 : x
  2. Step 2: Convert to fraction form
    31,372.99/47,016.72 = 17,312.06/x
  3. Step 3: Cross multiply
    31,372.99x = 47,016.72 × 17,312.06
  4. Step 4: Simplify right side
    31,372.99x = 813,956,395.19
  5. Step 5: Solve for x
    x = 813,956,395.19/31,372.99
  6. Step 6: Final answer
    x = 25,944.50

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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.