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Finding the Fourth Proportional to 56,419.05, 77,857.98 and 30,926.49

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Solution

The fourth proportional to 56,419.05, 77,857.98 and 30,926.49 is: 42,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.05 : 77,857.98 = 30,926.49 : x
  2. Step 2: Convert to fraction form
    56,419.05/77,857.98 = 30,926.49/x
  3. Step 3: Cross multiply
    56,419.05x = 77,857.98 × 30,926.49
  4. Step 4: Simplify right side
    56,419.05x = 2,407,874,039.89
  5. Step 5: Solve for x
    x = 2,407,874,039.89/56,419.05
  6. Step 6: Final answer
    x = 42,678.39

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