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Finding the Fourth Proportional to 31,870.60, 47,811.30 and 9,683.80

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Solution

The fourth proportional to 31,870.60, 47,811.30 and 9,683.80 is: 14,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.60 : 47,811.30 = 9,683.80 : x
  2. Step 2: Convert to fraction form
    31,870.60/47,811.30 = 9,683.80/x
  3. Step 3: Cross multiply
    31,870.60x = 47,811.30 × 9,683.80
  4. Step 4: Simplify right side
    31,870.60x = 462,995,066.94
  5. Step 5: Solve for x
    x = 462,995,066.94/31,870.60
  6. Step 6: Final answer
    x = 14,527.34

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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.