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Finding the Fourth Proportional to 49,689, 74,588.94 and 27,545.64

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Solution

The fourth proportional to 49,689, 74,588.94 and 27,545.64 is: 41,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,689 : 74,588.94 = 27,545.64 : x
  2. Step 2: Convert to fraction form
    49,689/74,588.94 = 27,545.64/x
  3. Step 3: Cross multiply
    49,689x = 74,588.94 × 27,545.64
  4. Step 4: Simplify right side
    49,689x = 2,054,600,089.22
  5. Step 5: Solve for x
    x = 2,054,600,089.22/49,689
  6. Step 6: Final answer
    x = 41,349.19

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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.