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Finding the Fourth Proportional to 34,500.78, 47,501.90 and 31,347.52

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Solution

The fourth proportional to 34,500.78, 47,501.90 and 31,347.52 is: 43,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500.78 : 47,501.90 = 31,347.52 : x
  2. Step 2: Convert to fraction form
    34,500.78/47,501.90 = 31,347.52/x
  3. Step 3: Cross multiply
    34,500.78x = 47,501.90 × 31,347.52
  4. Step 4: Simplify right side
    34,500.78x = 1,489,066,760.29
  5. Step 5: Solve for x
    x = 1,489,066,760.29/34,500.78
  6. Step 6: Final answer
    x = 43,160.38

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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.