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Finding the Fourth Proportional to 31,869.60, 47,814.84 and 9,683.88

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Solution

The fourth proportional to 31,869.60, 47,814.84 and 9,683.88 is: 14,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.60 : 47,814.84 = 9,683.88 : x
  2. Step 2: Convert to fraction form
    31,869.60/47,814.84 = 9,683.88/x
  3. Step 3: Cross multiply
    31,869.60x = 47,814.84 × 9,683.88
  4. Step 4: Simplify right side
    31,869.60x = 463,033,172.78
  5. Step 5: Solve for x
    x = 463,033,172.78/31,869.60
  6. Step 6: Final answer
    x = 14,528.99

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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.