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Finding the Fourth Proportional to 34,078.50, 47,031.21 and 19,177.38

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Solution

The fourth proportional to 34,078.50, 47,031.21 and 19,177.38 is: 26,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.50 : 47,031.21 = 19,177.38 : x
  2. Step 2: Convert to fraction form
    34,078.50/47,031.21 = 19,177.38/x
  3. Step 3: Cross multiply
    34,078.50x = 47,031.21 × 19,177.38
  4. Step 4: Simplify right side
    34,078.50x = 901,935,386.03
  5. Step 5: Solve for x
    x = 901,935,386.03/34,078.50
  6. Step 6: Final answer
    x = 26,466.41

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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.