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Finding the Fourth Proportional to 27,761.63, 41,642.07 and 6,701.50

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Solution

The fourth proportional to 27,761.63, 41,642.07 and 6,701.50 is: 10,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.63 : 41,642.07 = 6,701.50 : x
  2. Step 2: Convert to fraction form
    27,761.63/41,642.07 = 6,701.50/x
  3. Step 3: Cross multiply
    27,761.63x = 41,642.07 × 6,701.50
  4. Step 4: Simplify right side
    27,761.63x = 279,064,332.11
  5. Step 5: Solve for x
    x = 279,064,332.11/27,761.63
  6. Step 6: Final answer
    x = 10,052.16

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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.