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Finding the Fourth Proportional to 69,585.46, 104,500.95 and 51,820.95

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Solution

The fourth proportional to 69,585.46, 104,500.95 and 51,820.95 is: 77,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,585.46 : 104,500.95 = 51,820.95 : x
  2. Step 2: Convert to fraction form
    69,585.46/104,500.95 = 51,820.95/x
  3. Step 3: Cross multiply
    69,585.46x = 104,500.95 × 51,820.95
  4. Step 4: Simplify right side
    69,585.46x = 5,415,337,982.40
  5. Step 5: Solve for x
    x = 5,415,337,982.40/69,585.46
  6. Step 6: Final answer
    x = 77,822.84

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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.