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Finding the Fourth Proportional to 76,314.37, 105,314.14 and 42,326.03

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Solution

The fourth proportional to 76,314.37, 105,314.14 and 42,326.03 is: 58,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.37 : 105,314.14 = 42,326.03 : x
  2. Step 2: Convert to fraction form
    76,314.37/105,314.14 = 42,326.03/x
  3. Step 3: Cross multiply
    76,314.37x = 105,314.14 × 42,326.03
  4. Step 4: Simplify right side
    76,314.37x = 4,457,529,449.06
  5. Step 5: Solve for x
    x = 4,457,529,449.06/76,314.37
  6. Step 6: Final answer
    x = 58,410.09

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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.