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Finding the Fourth Proportional to 56,218.12, 77,578.02 and 31,066.12

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Solution

The fourth proportional to 56,218.12, 77,578.02 and 31,066.12 is: 42,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,218.12 : 77,578.02 = 31,066.12 : x
  2. Step 2: Convert to fraction form
    56,218.12/77,578.02 = 31,066.12/x
  3. Step 3: Cross multiply
    56,218.12x = 77,578.02 × 31,066.12
  4. Step 4: Simplify right side
    56,218.12x = 2,410,048,078.68
  5. Step 5: Solve for x
    x = 2,410,048,078.68/56,218.12
  6. Step 6: Final answer
    x = 42,869.60

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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.