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Finding the Fourth Proportional to 77,296.94, 116,471.91 and 63,564.56

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Solution

The fourth proportional to 77,296.94, 116,471.91 and 63,564.56 is: 95,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,296.94 : 116,471.91 = 63,564.56 : x
  2. Step 2: Convert to fraction form
    77,296.94/116,471.91 = 63,564.56/x
  3. Step 3: Cross multiply
    77,296.94x = 116,471.91 × 63,564.56
  4. Step 4: Simplify right side
    77,296.94x = 7,403,485,129.15
  5. Step 5: Solve for x
    x = 7,403,485,129.15/77,296.94
  6. Step 6: Final answer
    x = 95,779.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.