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Finding the Fourth Proportional to 27,033.48, 40,550.76 and 7,312.14

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Solution

The fourth proportional to 27,033.48, 40,550.76 and 7,312.14 is: 10,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.48 : 40,550.76 = 7,312.14 : x
  2. Step 2: Convert to fraction form
    27,033.48/40,550.76 = 7,312.14/x
  3. Step 3: Cross multiply
    27,033.48x = 40,550.76 × 7,312.14
  4. Step 4: Simplify right side
    27,033.48x = 296,512,834.23
  5. Step 5: Solve for x
    x = 296,512,834.23/27,033.48
  6. Step 6: Final answer
    x = 10,968.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.