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Finding the Fourth Proportional to 47,334.74, 65,321.94 and 26,114

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Solution

The fourth proportional to 47,334.74, 65,321.94 and 26,114 is: 36,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,334.74 : 65,321.94 = 26,114 : x
  2. Step 2: Convert to fraction form
    47,334.74/65,321.94 = 26,114/x
  3. Step 3: Cross multiply
    47,334.74x = 65,321.94 × 26,114
  4. Step 4: Simplify right side
    47,334.74x = 1,705,817,141.16
  5. Step 5: Solve for x
    x = 1,705,817,141.16/47,334.74
  6. Step 6: Final answer
    x = 36,037.32

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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.