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Finding the Fourth Proportional to 77,916.24, 116,978.04 and 41,006.16

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Solution

The fourth proportional to 77,916.24, 116,978.04 and 41,006.16 is: 61,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,916.24 : 116,978.04 = 41,006.16 : x
  2. Step 2: Convert to fraction form
    77,916.24/116,978.04 = 41,006.16/x
  3. Step 3: Cross multiply
    77,916.24x = 116,978.04 × 41,006.16
  4. Step 4: Simplify right side
    77,916.24x = 4,796,820,224.73
  5. Step 5: Solve for x
    x = 4,796,820,224.73/77,916.24
  6. Step 6: Final answer
    x = 61,563.81

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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.