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Finding the Fourth Proportional to 34,107.51, 51,158.88 and 12,756.17

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Solution

The fourth proportional to 34,107.51, 51,158.88 and 12,756.17 is: 19,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.51 : 51,158.88 = 12,756.17 : x
  2. Step 2: Convert to fraction form
    34,107.51/51,158.88 = 12,756.17/x
  3. Step 3: Cross multiply
    34,107.51x = 51,158.88 × 12,756.17
  4. Step 4: Simplify right side
    34,107.51x = 652,591,114.50
  5. Step 5: Solve for x
    x = 652,591,114.50/34,107.51
  6. Step 6: Final answer
    x = 19,133.36

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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.