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Finding the Fourth Proportional to 48,905.78, 73,309.04 and 27,802.22

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Solution

The fourth proportional to 48,905.78, 73,309.04 and 27,802.22 is: 41,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,905.78 : 73,309.04 = 27,802.22 : x
  2. Step 2: Convert to fraction form
    48,905.78/73,309.04 = 27,802.22/x
  3. Step 3: Cross multiply
    48,905.78x = 73,309.04 × 27,802.22
  4. Step 4: Simplify right side
    48,905.78x = 2,038,154,147.33
  5. Step 5: Solve for x
    x = 2,038,154,147.33/48,905.78
  6. Step 6: Final answer
    x = 41,675.11

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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.