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Finding the Fourth Proportional to 69,095.78, 103,623.22 and 29,643.52

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Solution

The fourth proportional to 69,095.78, 103,623.22 and 29,643.52 is: 44,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,095.78 : 103,623.22 = 29,643.52 : x
  2. Step 2: Convert to fraction form
    69,095.78/103,623.22 = 29,643.52/x
  3. Step 3: Cross multiply
    69,095.78x = 103,623.22 × 29,643.52
  4. Step 4: Simplify right side
    69,095.78x = 3,071,756,994.53
  5. Step 5: Solve for x
    x = 3,071,756,994.53/69,095.78
  6. Step 6: Final answer
    x = 44,456.51

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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.