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Finding the Fourth Proportional to 69,006.84, 103,657.68 and 49,411.32

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Solution

The fourth proportional to 69,006.84, 103,657.68 and 49,411.32 is: 74,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006.84 : 103,657.68 = 49,411.32 : x
  2. Step 2: Convert to fraction form
    69,006.84/103,657.68 = 49,411.32/x
  3. Step 3: Cross multiply
    69,006.84x = 103,657.68 × 49,411.32
  4. Step 4: Simplify right side
    69,006.84x = 5,121,862,796.94
  5. Step 5: Solve for x
    x = 5,121,862,796.94/69,006.84
  6. Step 6: Final answer
    x = 74,222.54

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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.