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Finding the Fourth Proportional to 77,896.66, 116,798.29 and 35,723.92

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Solution

The fourth proportional to 77,896.66, 116,798.29 and 35,723.92 is: 53,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,896.66 : 116,798.29 = 35,723.92 : x
  2. Step 2: Convert to fraction form
    77,896.66/116,798.29 = 35,723.92/x
  3. Step 3: Cross multiply
    77,896.66x = 116,798.29 × 35,723.92
  4. Step 4: Simplify right side
    77,896.66x = 4,172,492,768.10
  5. Step 5: Solve for x
    x = 4,172,492,768.10/77,896.66
  6. Step 6: Final answer
    x = 53,564.46

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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.