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Finding the Fourth Proportional to 76,236.49, 105,197.74 and 42,236.44

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Solution

The fourth proportional to 76,236.49, 105,197.74 and 42,236.44 is: 58,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,236.49 : 105,197.74 = 42,236.44 : x
  2. Step 2: Convert to fraction form
    76,236.49/105,197.74 = 42,236.44/x
  3. Step 3: Cross multiply
    76,236.49x = 105,197.74 × 42,236.44
  4. Step 4: Simplify right side
    76,236.49x = 4,443,177,665.06
  5. Step 5: Solve for x
    x = 4,443,177,665.06/76,236.49
  6. Step 6: Final answer
    x = 58,281.51

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1.5x scale

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.