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Finding the Fourth Proportional to 76,712.94, 115,001.64 and 29,933.10

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Solution

The fourth proportional to 76,712.94, 115,001.64 and 29,933.10 is: 44,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712.94 : 115,001.64 = 29,933.10 : x
  2. Step 2: Convert to fraction form
    76,712.94/115,001.64 = 29,933.10/x
  3. Step 3: Cross multiply
    76,712.94x = 115,001.64 × 29,933.10
  4. Step 4: Simplify right side
    76,712.94x = 3,442,355,590.28
  5. Step 5: Solve for x
    x = 3,442,355,590.28/76,712.94
  6. Step 6: Final answer
    x = 44,873.21

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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.