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Finding the Fourth Proportional to 31,130.70, 43,641.30 and 31,130.70

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Solution

The fourth proportional to 31,130.70, 43,641.30 and 31,130.70 is: 43,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.70 : 43,641.30 = 31,130.70 : x
  2. Step 2: Convert to fraction form
    31,130.70/43,641.30 = 31,130.70/x
  3. Step 3: Cross multiply
    31,130.70x = 43,641.30 × 31,130.70
  4. Step 4: Simplify right side
    31,130.70x = 1,358,584,217.91
  5. Step 5: Solve for x
    x = 1,358,584,217.91/31,130.70
  6. Step 6: Final answer
    x = 43,641.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.