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Finding the Fourth Proportional to 76,183, 105,132.54 and 42,649.72

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Solution

The fourth proportional to 76,183, 105,132.54 and 42,649.72 is: 58,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,183 : 105,132.54 = 42,649.72 : x
  2. Step 2: Convert to fraction form
    76,183/105,132.54 = 42,649.72/x
  3. Step 3: Cross multiply
    76,183x = 105,132.54 × 42,649.72
  4. Step 4: Simplify right side
    76,183x = 4,483,873,393.89
  5. Step 5: Solve for x
    x = 4,483,873,393.89/76,183
  6. Step 6: Final answer
    x = 58,856.61

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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.