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Finding the Fourth Proportional to 89,049, 133,573.50 and 39,801

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Solution

The fourth proportional to 89,049, 133,573.50 and 39,801 is: 59,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,049 : 133,573.50 = 39,801 : x
  2. Step 2: Convert to fraction form
    89,049/133,573.50 = 39,801/x
  3. Step 3: Cross multiply
    89,049x = 133,573.50 × 39,801
  4. Step 4: Simplify right side
    89,049x = 5,316,358,873.50
  5. Step 5: Solve for x
    x = 5,316,358,873.50/89,049
  6. Step 6: Final answer
    x = 59,701.50

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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.