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Finding the Fourth Proportional to 65,462, 90,337.74 and 37,172.12

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Solution

The fourth proportional to 65,462, 90,337.74 and 37,172.12 is: 51,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,462 : 90,337.74 = 37,172.12 : x
  2. Step 2: Convert to fraction form
    65,462/90,337.74 = 37,172.12/x
  3. Step 3: Cross multiply
    65,462x = 90,337.74 × 37,172.12
  4. Step 4: Simplify right side
    65,462x = 3,358,045,311.81
  5. Step 5: Solve for x
    x = 3,358,045,311.81/65,462
  6. Step 6: Final answer
    x = 51,297.63

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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.