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Finding the Fourth Proportional to 85,466.24, 128,176.32 and 38,672

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Solution

The fourth proportional to 85,466.24, 128,176.32 and 38,672 is: 57,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,466.24 : 128,176.32 = 38,672 : x
  2. Step 2: Convert to fraction form
    85,466.24/128,176.32 = 38,672/x
  3. Step 3: Cross multiply
    85,466.24x = 128,176.32 × 38,672
  4. Step 4: Simplify right side
    85,466.24x = 4,956,834,647.04
  5. Step 5: Solve for x
    x = 4,956,834,647.04/85,466.24
  6. Step 6: Final answer
    x = 57,997.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.