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Finding the Fourth Proportional to 65,408.68, 90,276.42 and 37,117

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Solution

The fourth proportional to 65,408.68, 90,276.42 and 37,117 is: 51,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.68 : 90,276.42 = 37,117 : x
  2. Step 2: Convert to fraction form
    65,408.68/90,276.42 = 37,117/x
  3. Step 3: Cross multiply
    65,408.68x = 90,276.42 × 37,117
  4. Step 4: Simplify right side
    65,408.68x = 3,350,789,881.14
  5. Step 5: Solve for x
    x = 3,350,789,881.14/65,408.68
  6. Step 6: Final answer
    x = 51,228.52

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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.