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Finding the Fourth Proportional to 31,103.70, 42,929.10 and 20,492.70

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Solution

The fourth proportional to 31,103.70, 42,929.10 and 20,492.70 is: 28,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.70 : 42,929.10 = 20,492.70 : x
  2. Step 2: Convert to fraction form
    31,103.70/42,929.10 = 20,492.70/x
  3. Step 3: Cross multiply
    31,103.70x = 42,929.10 × 20,492.70
  4. Step 4: Simplify right side
    31,103.70x = 879,733,167.57
  5. Step 5: Solve for x
    x = 879,733,167.57/31,103.70
  6. Step 6: Final answer
    x = 28,283.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.