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Finding the Fourth Proportional to 31,492.80, 42,865.20 and 31,492.80

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Solution

The fourth proportional to 31,492.80, 42,865.20 and 31,492.80 is: 42,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.80 : 42,865.20 = 31,492.80 : x
  2. Step 2: Convert to fraction form
    31,492.80/42,865.20 = 31,492.80/x
  3. Step 3: Cross multiply
    31,492.80x = 42,865.20 × 31,492.80
  4. Step 4: Simplify right side
    31,492.80x = 1,349,945,170.56
  5. Step 5: Solve for x
    x = 1,349,945,170.56/31,492.80
  6. Step 6: Final answer
    x = 42,865.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.