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Finding the Fourth Proportional to 49,271.77, 67,989.54 and 27,762.49

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Solution

The fourth proportional to 49,271.77, 67,989.54 and 27,762.49 is: 38,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271.77 : 67,989.54 = 27,762.49 : x
  2. Step 2: Convert to fraction form
    49,271.77/67,989.54 = 27,762.49/x
  3. Step 3: Cross multiply
    49,271.77x = 67,989.54 × 27,762.49
  4. Step 4: Simplify right side
    49,271.77x = 1,887,558,924.35
  5. Step 5: Solve for x
    x = 1,887,558,924.35/49,271.77
  6. Step 6: Final answer
    x = 38,309.14

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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.