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Finding the Fourth Proportional to 34,109.88, 51,171.74 and 10,730.88

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Solution

The fourth proportional to 34,109.88, 51,171.74 and 10,730.88 is: 16,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109.88 : 51,171.74 = 10,730.88 : x
  2. Step 2: Convert to fraction form
    34,109.88/51,171.74 = 10,730.88/x
  3. Step 3: Cross multiply
    34,109.88x = 51,171.74 × 10,730.88
  4. Step 4: Simplify right side
    34,109.88x = 549,117,801.33
  5. Step 5: Solve for x
    x = 549,117,801.33/34,109.88
  6. Step 6: Final answer
    x = 16,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.