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Finding the Fourth Proportional to 56,022.42, 84,066.42 and 31,083.32

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Solution

The fourth proportional to 56,022.42, 84,066.42 and 31,083.32 is: 46,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,022.42 : 84,066.42 = 31,083.32 : x
  2. Step 2: Convert to fraction form
    56,022.42/84,066.42 = 31,083.32/x
  3. Step 3: Cross multiply
    56,022.42x = 84,066.42 × 31,083.32
  4. Step 4: Simplify right side
    56,022.42x = 2,613,063,434.11
  5. Step 5: Solve for x
    x = 2,613,063,434.11/56,022.42
  6. Step 6: Final answer
    x = 46,643.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.