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Finding the Fourth Proportional to 31,393.80, 47,040.30 and 16,583.40

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Solution

The fourth proportional to 31,393.80, 47,040.30 and 16,583.40 is: 24,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.80 : 47,040.30 = 16,583.40 : x
  2. Step 2: Convert to fraction form
    31,393.80/47,040.30 = 16,583.40/x
  3. Step 3: Cross multiply
    31,393.80x = 47,040.30 × 16,583.40
  4. Step 4: Simplify right side
    31,393.80x = 780,088,111.02
  5. Step 5: Solve for x
    x = 780,088,111.02/31,393.80
  6. Step 6: Final answer
    x = 24,848.48

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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.