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Finding the Fourth Proportional to 115,733.82, 173,614.61 and 40,838.50

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Solution

The fourth proportional to 115,733.82, 173,614.61 and 40,838.50 is: 61,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,733.82 : 173,614.61 = 40,838.50 : x
  2. Step 2: Convert to fraction form
    115,733.82/173,614.61 = 40,838.50/x
  3. Step 3: Cross multiply
    115,733.82x = 173,614.61 × 40,838.50
  4. Step 4: Simplify right side
    115,733.82x = 7,090,160,250.49
  5. Step 5: Solve for x
    x = 7,090,160,250.49/115,733.82
  6. Step 6: Final answer
    x = 61,262.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.