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Finding the Fourth Proportional to 31,499.50, 47,256.54 and 10,723

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Solution

The fourth proportional to 31,499.50, 47,256.54 and 10,723 is: 16,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.50 : 47,256.54 = 10,723 : x
  2. Step 2: Convert to fraction form
    31,499.50/47,256.54 = 10,723/x
  3. Step 3: Cross multiply
    31,499.50x = 47,256.54 × 10,723
  4. Step 4: Simplify right side
    31,499.50x = 506,731,878.42
  5. Step 5: Solve for x
    x = 506,731,878.42/31,499.50
  6. Step 6: Final answer
    x = 16,086.98

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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.