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Finding the Fourth Proportional to 49,752, 68,658.08 and 27,397.44

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Solution

The fourth proportional to 49,752, 68,658.08 and 27,397.44 is: 37,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,752 : 68,658.08 = 27,397.44 : x
  2. Step 2: Convert to fraction form
    49,752/68,658.08 = 27,397.44/x
  3. Step 3: Cross multiply
    49,752x = 68,658.08 × 27,397.44
  4. Step 4: Simplify right side
    49,752x = 1,881,055,627.32
  5. Step 5: Solve for x
    x = 1,881,055,627.32/49,752
  6. Step 6: Final answer
    x = 37,808.64

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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.