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Finding the Fourth Proportional to 76,215.37, 105,177.95 and 42,224.58

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Solution

The fourth proportional to 76,215.37, 105,177.95 and 42,224.58 is: 58,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,215.37 : 105,177.95 = 42,224.58 : x
  2. Step 2: Convert to fraction form
    76,215.37/105,177.95 = 42,224.58/x
  3. Step 3: Cross multiply
    76,215.37x = 105,177.95 × 42,224.58
  4. Step 4: Simplify right side
    76,215.37x = 4,441,094,764.01
  5. Step 5: Solve for x
    x = 4,441,094,764.01/76,215.37
  6. Step 6: Final answer
    x = 58,270.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.