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Finding the Fourth Proportional to 47,346.91, 65,362.39 and 29,447.69

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Solution

The fourth proportional to 47,346.91, 65,362.39 and 29,447.69 is: 40,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,346.91 : 65,362.39 = 29,447.69 : x
  2. Step 2: Convert to fraction form
    47,346.91/65,362.39 = 29,447.69/x
  3. Step 3: Cross multiply
    47,346.91x = 65,362.39 × 29,447.69
  4. Step 4: Simplify right side
    47,346.91x = 1,924,771,398.38
  5. Step 5: Solve for x
    x = 1,924,771,398.38/47,346.91
  6. Step 6: Final answer
    x = 40,652.52

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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.