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Finding the Fourth Proportional to 31,490.80, 47,235.40 and 12,765.82

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Solution

The fourth proportional to 31,490.80, 47,235.40 and 12,765.82 is: 19,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.80 : 47,235.40 = 12,765.82 : x
  2. Step 2: Convert to fraction form
    31,490.80/47,235.40 = 12,765.82/x
  3. Step 3: Cross multiply
    31,490.80x = 47,235.40 × 12,765.82
  4. Step 4: Simplify right side
    31,490.80x = 602,998,614.03
  5. Step 5: Solve for x
    x = 602,998,614.03/31,490.80
  6. Step 6: Final answer
    x = 19,148.41

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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.