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Finding the Fourth Proportional to 27,771.51, 41,657.22 and 6,995.01

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Solution

The fourth proportional to 27,771.51, 41,657.22 and 6,995.01 is: 10,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.51 : 41,657.22 = 6,995.01 : x
  2. Step 2: Convert to fraction form
    27,771.51/41,657.22 = 6,995.01/x
  3. Step 3: Cross multiply
    27,771.51x = 41,657.22 × 6,995.01
  4. Step 4: Simplify right side
    27,771.51x = 291,392,670.47
  5. Step 5: Solve for x
    x = 291,392,670.47/27,771.51
  6. Step 6: Final answer
    x = 10,492.50

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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.