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Finding the Fourth Proportional to 70,046, 96,665.20 and 38,217.92

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Solution

The fourth proportional to 70,046, 96,665.20 and 38,217.92 is: 52,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,046 : 96,665.20 = 38,217.92 : x
  2. Step 2: Convert to fraction form
    70,046/96,665.20 = 38,217.92/x
  3. Step 3: Cross multiply
    70,046x = 96,665.20 × 38,217.92
  4. Step 4: Simplify right side
    70,046x = 3,694,342,880.38
  5. Step 5: Solve for x
    x = 3,694,342,880.38/70,046
  6. Step 6: Final answer
    x = 52,741.67

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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.