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Finding the Fourth Proportional to 34,137.60, 51,206.40 and 29,126.40

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Solution

The fourth proportional to 34,137.60, 51,206.40 and 29,126.40 is: 43,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.60 : 51,206.40 = 29,126.40 : x
  2. Step 2: Convert to fraction form
    34,137.60/51,206.40 = 29,126.40/x
  3. Step 3: Cross multiply
    34,137.60x = 51,206.40 × 29,126.40
  4. Step 4: Simplify right side
    34,137.60x = 1,491,458,088.96
  5. Step 5: Solve for x
    x = 1,491,458,088.96/34,137.60
  6. Step 6: Final answer
    x = 43,689.60

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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.