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Finding the Fourth Proportional to 76,774.73, 105,946.38 and 42,781.46

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Solution

The fourth proportional to 76,774.73, 105,946.38 and 42,781.46 is: 59,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,774.73 : 105,946.38 = 42,781.46 : x
  2. Step 2: Convert to fraction form
    76,774.73/105,946.38 = 42,781.46/x
  3. Step 3: Cross multiply
    76,774.73x = 105,946.38 × 42,781.46
  4. Step 4: Simplify right side
    76,774.73x = 4,532,540,288.38
  5. Step 5: Solve for x
    x = 4,532,540,288.38/76,774.73
  6. Step 6: Final answer
    x = 59,036.88

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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.