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Finding the Fourth Proportional to 97,162.56, 145,728 and 27,025.92

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Solution

The fourth proportional to 97,162.56, 145,728 and 27,025.92 is: 40,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,162.56 : 145,728 = 27,025.92 : x
  2. Step 2: Convert to fraction form
    97,162.56/145,728 = 27,025.92/x
  3. Step 3: Cross multiply
    97,162.56x = 145,728 × 27,025.92
  4. Step 4: Simplify right side
    97,162.56x = 3,938,433,269.76
  5. Step 5: Solve for x
    x = 3,938,433,269.76/97,162.56
  6. Step 6: Final answer
    x = 40,534.47

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Why These Related Problems?

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