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Finding the Fourth Proportional to 27,224.19, 40,829.00 and 7,498.08

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Solution

The fourth proportional to 27,224.19, 40,829.00 and 7,498.08 is: 11,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.19 : 40,829.00 = 7,498.08 : x
  2. Step 2: Convert to fraction form
    27,224.19/40,829.00 = 7,498.08/x
  3. Step 3: Cross multiply
    27,224.19x = 40,829.00 × 7,498.08
  4. Step 4: Simplify right side
    27,224.19x = 306,139,070.83
  5. Step 5: Solve for x
    x = 306,139,070.83/27,224.19
  6. Step 6: Final answer
    x = 11,245.11

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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.