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Finding the Fourth Proportional to 51,107.95, 76,671.95 and 17,829.10

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Solution

The fourth proportional to 51,107.95, 76,671.95 and 17,829.10 is: 26,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,107.95 : 76,671.95 = 17,829.10 : x
  2. Step 2: Convert to fraction form
    51,107.95/76,671.95 = 17,829.10/x
  3. Step 3: Cross multiply
    51,107.95x = 76,671.95 × 17,829.10
  4. Step 4: Simplify right side
    51,107.95x = 1,366,991,480.39
  5. Step 5: Solve for x
    x = 1,366,991,480.39/51,107.95
  6. Step 6: Final answer
    x = 26,747.14

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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.