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Finding the Fourth Proportional to 77,134.66, 106,448.25 and 43,602.82

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Solution

The fourth proportional to 77,134.66, 106,448.25 and 43,602.82 is: 60,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,134.66 : 106,448.25 = 43,602.82 : x
  2. Step 2: Convert to fraction form
    77,134.66/106,448.25 = 43,602.82/x
  3. Step 3: Cross multiply
    77,134.66x = 106,448.25 × 43,602.82
  4. Step 4: Simplify right side
    77,134.66x = 4,641,443,884.07
  5. Step 5: Solve for x
    x = 4,641,443,884.07/77,134.66
  6. Step 6: Final answer
    x = 60,173.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.