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Finding the Fourth Proportional to 34,155.88, 47,138.96 and 20,730.40

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Solution

The fourth proportional to 34,155.88, 47,138.96 and 20,730.40 is: 28,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,155.88 : 47,138.96 = 20,730.40 : x
  2. Step 2: Convert to fraction form
    34,155.88/47,138.96 = 20,730.40/x
  3. Step 3: Cross multiply
    34,155.88x = 47,138.96 × 20,730.40
  4. Step 4: Simplify right side
    34,155.88x = 977,209,496.38
  5. Step 5: Solve for x
    x = 977,209,496.38/34,155.88
  6. Step 6: Final answer
    x = 28,610.29

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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.