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Finding the Fourth Proportional to 55,866.69, 77,096.12 and 30,716.19

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Solution

The fourth proportional to 55,866.69, 77,096.12 and 30,716.19 is: 42,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,866.69 : 77,096.12 = 30,716.19 : x
  2. Step 2: Convert to fraction form
    55,866.69/77,096.12 = 30,716.19/x
  3. Step 3: Cross multiply
    55,866.69x = 77,096.12 × 30,716.19
  4. Step 4: Simplify right side
    55,866.69x = 2,368,099,070.18
  5. Step 5: Solve for x
    x = 2,368,099,070.18/55,866.69
  6. Step 6: Final answer
    x = 42,388.39

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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.