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Finding the Fourth Proportional to 76,403.37, 105,431.65 and 42,410.20

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Solution

The fourth proportional to 76,403.37, 105,431.65 and 42,410.20 is: 58,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403.37 : 105,431.65 = 42,410.20 : x
  2. Step 2: Convert to fraction form
    76,403.37/105,431.65 = 42,410.20/x
  3. Step 3: Cross multiply
    76,403.37x = 105,431.65 × 42,410.20
  4. Step 4: Simplify right side
    76,403.37x = 4,471,377,362.83
  5. Step 5: Solve for x
    x = 4,471,377,362.83/76,403.37
  6. Step 6: Final answer
    x = 58,523.30

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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.