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Finding the Fourth Proportional to 68,092, 93,966.96 and 38,284

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Solution

The fourth proportional to 68,092, 93,966.96 and 38,284 is: 52,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092 : 93,966.96 = 38,284 : x
  2. Step 2: Convert to fraction form
    68,092/93,966.96 = 38,284/x
  3. Step 3: Cross multiply
    68,092x = 93,966.96 × 38,284
  4. Step 4: Simplify right side
    68,092x = 3,597,431,096.64
  5. Step 5: Solve for x
    x = 3,597,431,096.64/68,092
  6. Step 6: Final answer
    x = 52,831.92

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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.