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Finding the Fourth Proportional to 58,201.60, 87,082.56 and 35,632

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Solution

The fourth proportional to 58,201.60, 87,082.56 and 35,632 is: 53,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,201.60 : 87,082.56 = 35,632 : x
  2. Step 2: Convert to fraction form
    58,201.60/87,082.56 = 35,632/x
  3. Step 3: Cross multiply
    58,201.60x = 87,082.56 × 35,632
  4. Step 4: Simplify right side
    58,201.60x = 3,102,925,777.92
  5. Step 5: Solve for x
    x = 3,102,925,777.92/58,201.60
  6. Step 6: Final answer
    x = 53,313.41

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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.