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Finding the Fourth Proportional to 31,777.80, 47,666.70 and 24,419.40

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Solution

The fourth proportional to 31,777.80, 47,666.70 and 24,419.40 is: 36,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.80 : 47,666.70 = 24,419.40 : x
  2. Step 2: Convert to fraction form
    31,777.80/47,666.70 = 24,419.40/x
  3. Step 3: Cross multiply
    31,777.80x = 47,666.70 × 24,419.40
  4. Step 4: Simplify right side
    31,777.80x = 1,163,992,213.98
  5. Step 5: Solve for x
    x = 1,163,992,213.98/31,777.80
  6. Step 6: Final answer
    x = 36,629.10

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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.