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Finding the Fourth Proportional to 92,724, 127,959.92 and 50,282.54

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Solution

The fourth proportional to 92,724, 127,959.92 and 50,282.54 is: 69,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,724 : 127,959.92 = 50,282.54 : x
  2. Step 2: Convert to fraction form
    92,724/127,959.92 = 50,282.54/x
  3. Step 3: Cross multiply
    92,724x = 127,959.92 × 50,282.54
  4. Step 4: Simplify right side
    92,724x = 6,434,148,904.58
  5. Step 5: Solve for x
    x = 6,434,148,904.58/92,724
  6. Step 6: Final answer
    x = 69,390.33

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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.