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Finding the Fourth Proportional to 89,053.56, 133,580.34 and 39,771

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Solution

The fourth proportional to 89,053.56, 133,580.34 and 39,771 is: 59,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,053.56 : 133,580.34 = 39,771 : x
  2. Step 2: Convert to fraction form
    89,053.56/133,580.34 = 39,771/x
  3. Step 3: Cross multiply
    89,053.56x = 133,580.34 × 39,771
  4. Step 4: Simplify right side
    89,053.56x = 5,312,623,702.14
  5. Step 5: Solve for x
    x = 5,312,623,702.14/89,053.56
  6. Step 6: Final answer
    x = 59,656.50

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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.