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Finding the Fourth Proportional to 31,985.80, 48,000.30 and 18,824.20

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Solution

The fourth proportional to 31,985.80, 48,000.30 and 18,824.20 is: 28,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.80 : 48,000.30 = 18,824.20 : x
  2. Step 2: Convert to fraction form
    31,985.80/48,000.30 = 18,824.20/x
  3. Step 3: Cross multiply
    31,985.80x = 48,000.30 × 18,824.20
  4. Step 4: Simplify right side
    31,985.80x = 903,567,247.26
  5. Step 5: Solve for x
    x = 903,567,247.26/31,985.80
  6. Step 6: Final answer
    x = 28,249.01

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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.