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Finding the Fourth Proportional to 53,200.92, 79,819.38 and 23,639.16

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Solution

The fourth proportional to 53,200.92, 79,819.38 and 23,639.16 is: 35,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.92 : 79,819.38 = 23,639.16 : x
  2. Step 2: Convert to fraction form
    53,200.92/79,819.38 = 23,639.16/x
  3. Step 3: Cross multiply
    53,200.92x = 79,819.38 × 23,639.16
  4. Step 4: Simplify right side
    53,200.92x = 1,886,863,094.92
  5. Step 5: Solve for x
    x = 1,886,863,094.92/53,200.92
  6. Step 6: Final answer
    x = 35,466.74

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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.