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Finding the Fourth Proportional to 49,018.77, 67,647.83 and 27,802.17

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Solution

The fourth proportional to 49,018.77, 67,647.83 and 27,802.17 is: 38,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,018.77 : 67,647.83 = 27,802.17 : x
  2. Step 2: Convert to fraction form
    49,018.77/67,647.83 = 27,802.17/x
  3. Step 3: Cross multiply
    49,018.77x = 67,647.83 × 27,802.17
  4. Step 4: Simplify right side
    49,018.77x = 1,880,756,330.78
  5. Step 5: Solve for x
    x = 1,880,756,330.78/49,018.77
  6. Step 6: Final answer
    x = 38,368.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.