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Finding the Fourth Proportional to 31,575.20, 47,401.20 and 23,722.40

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Solution

The fourth proportional to 31,575.20, 47,401.20 and 23,722.40 is: 35,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.20 : 47,401.20 = 23,722.40 : x
  2. Step 2: Convert to fraction form
    31,575.20/47,401.20 = 23,722.40/x
  3. Step 3: Cross multiply
    31,575.20x = 47,401.20 × 23,722.40
  4. Step 4: Simplify right side
    31,575.20x = 1,124,470,226.88
  5. Step 5: Solve for x
    x = 1,124,470,226.88/31,575.20
  6. Step 6: Final answer
    x = 35,612.45

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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.