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Finding the Fourth Proportional to 31,399.86, 47,106.73 and 10,346.40

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Solution

The fourth proportional to 31,399.86, 47,106.73 and 10,346.40 is: 15,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.86 : 47,106.73 = 10,346.40 : x
  2. Step 2: Convert to fraction form
    31,399.86/47,106.73 = 10,346.40/x
  3. Step 3: Cross multiply
    31,399.86x = 47,106.73 × 10,346.40
  4. Step 4: Simplify right side
    31,399.86x = 487,385,084.21
  5. Step 5: Solve for x
    x = 487,385,084.21/31,399.86
  6. Step 6: Final answer
    x = 15,521.89

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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.