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Finding the Fourth Proportional to 42,500.92, 58,653.48 and 23,638

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Solution

The fourth proportional to 42,500.92, 58,653.48 and 23,638 is: 32,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,500.92 : 58,653.48 = 23,638 : x
  2. Step 2: Convert to fraction form
    42,500.92/58,653.48 = 23,638/x
  3. Step 3: Cross multiply
    42,500.92x = 58,653.48 × 23,638
  4. Step 4: Simplify right side
    42,500.92x = 1,386,450,960.24
  5. Step 5: Solve for x
    x = 1,386,450,960.24/42,500.92
  6. Step 6: Final answer
    x = 32,621.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.