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Finding the Fourth Proportional to 92,544, 127,710.72 and 52,800

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Solution

The fourth proportional to 92,544, 127,710.72 and 52,800 is: 72,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,544 : 127,710.72 = 52,800 : x
  2. Step 2: Convert to fraction form
    92,544/127,710.72 = 52,800/x
  3. Step 3: Cross multiply
    92,544x = 127,710.72 × 52,800
  4. Step 4: Simplify right side
    92,544x = 6,743,126,016
  5. Step 5: Solve for x
    x = 6,743,126,016/92,544
  6. Step 6: Final answer
    x = 72,864

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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.