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Finding the Fourth Proportional to 27,225.92, 40,839.93 and 7,506.02

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Solution

The fourth proportional to 27,225.92, 40,839.93 and 7,506.02 is: 11,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.92 : 40,839.93 = 7,506.02 : x
  2. Step 2: Convert to fraction form
    27,225.92/40,839.93 = 7,506.02/x
  3. Step 3: Cross multiply
    27,225.92x = 40,839.93 × 7,506.02
  4. Step 4: Simplify right side
    27,225.92x = 306,545,127.18
  5. Step 5: Solve for x
    x = 306,545,127.18/27,225.92
  6. Step 6: Final answer
    x = 11,259.31

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Why These Related Problems?

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