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Finding the Fourth Proportional to 49,494.60, 68,301.72 and 27,984

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Solution

The fourth proportional to 49,494.60, 68,301.72 and 27,984 is: 38,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494.60 : 68,301.72 = 27,984 : x
  2. Step 2: Convert to fraction form
    49,494.60/68,301.72 = 27,984/x
  3. Step 3: Cross multiply
    49,494.60x = 68,301.72 × 27,984
  4. Step 4: Simplify right side
    49,494.60x = 1,911,355,332.48
  5. Step 5: Solve for x
    x = 1,911,355,332.48/49,494.60
  6. Step 6: Final answer
    x = 38,617.45

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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.