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Finding the Fourth Proportional to 89,175.15, 133,678.89 and 29,969.28

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Solution

The fourth proportional to 89,175.15, 133,678.89 and 29,969.28 is: 44,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,175.15 : 133,678.89 = 29,969.28 : x
  2. Step 2: Convert to fraction form
    89,175.15/133,678.89 = 29,969.28/x
  3. Step 3: Cross multiply
    89,175.15x = 133,678.89 × 29,969.28
  4. Step 4: Simplify right side
    89,175.15x = 4,006,260,084.50
  5. Step 5: Solve for x
    x = 4,006,260,084.50/89,175.15
  6. Step 6: Final answer
    x = 44,925.75

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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.