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Finding the Fourth Proportional to 77,663.21, 116,475.54 and 33,284.93

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Solution

The fourth proportional to 77,663.21, 116,475.54 and 33,284.93 is: 49,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.21 : 116,475.54 = 33,284.93 : x
  2. Step 2: Convert to fraction form
    77,663.21/116,475.54 = 33,284.93/x
  3. Step 3: Cross multiply
    77,663.21x = 116,475.54 × 33,284.93
  4. Step 4: Simplify right side
    77,663.21x = 3,876,880,195.61
  5. Step 5: Solve for x
    x = 3,876,880,195.61/77,663.21
  6. Step 6: Final answer
    x = 49,919.13

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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.