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Finding the Fourth Proportional to 31,187.70, 42,136.20 and 31,187.70

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Solution

The fourth proportional to 31,187.70, 42,136.20 and 31,187.70 is: 42,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.70 : 42,136.20 = 31,187.70 : x
  2. Step 2: Convert to fraction form
    31,187.70/42,136.20 = 31,187.70/x
  3. Step 3: Cross multiply
    31,187.70x = 42,136.20 × 31,187.70
  4. Step 4: Simplify right side
    31,187.70x = 1,314,131,164.74
  5. Step 5: Solve for x
    x = 1,314,131,164.74/31,187.70
  6. Step 6: Final answer
    x = 42,136.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.