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Finding the Fourth Proportional to 69,977.61, 105,007.07 and 29,448.14

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Solution

The fourth proportional to 69,977.61, 105,007.07 and 29,448.14 is: 44,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977.61 : 105,007.07 = 29,448.14 : x
  2. Step 2: Convert to fraction form
    69,977.61/105,007.07 = 29,448.14/x
  3. Step 3: Cross multiply
    69,977.61x = 105,007.07 × 29,448.14
  4. Step 4: Simplify right side
    69,977.61x = 3,092,262,898.35
  5. Step 5: Solve for x
    x = 3,092,262,898.35/69,977.61
  6. Step 6: Final answer
    x = 44,189.32

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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.