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Finding the Fourth Proportional to 31,883.60, 47,803.80 and 16,288.40

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Solution

The fourth proportional to 31,883.60, 47,803.80 and 16,288.40 is: 24,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.60 : 47,803.80 = 16,288.40 : x
  2. Step 2: Convert to fraction form
    31,883.60/47,803.80 = 16,288.40/x
  3. Step 3: Cross multiply
    31,883.60x = 47,803.80 × 16,288.40
  4. Step 4: Simplify right side
    31,883.60x = 778,647,415.92
  5. Step 5: Solve for x
    x = 778,647,415.92/31,883.60
  6. Step 6: Final answer
    x = 24,421.57

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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.