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Finding the Fourth Proportional to 69,603.76, 104,415.36 and 34,534

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Solution

The fourth proportional to 69,603.76, 104,415.36 and 34,534 is: 51,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,603.76 : 104,415.36 = 34,534 : x
  2. Step 2: Convert to fraction form
    69,603.76/104,415.36 = 34,534/x
  3. Step 3: Cross multiply
    69,603.76x = 104,415.36 × 34,534
  4. Step 4: Simplify right side
    69,603.76x = 3,605,880,042.24
  5. Step 5: Solve for x
    x = 3,605,880,042.24/69,603.76
  6. Step 6: Final answer
    x = 51,805.82

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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.