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Finding the Fourth Proportional to 56,646.99, 84,933 and 31,689.66

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Solution

The fourth proportional to 56,646.99, 84,933 and 31,689.66 is: 47,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.99 : 84,933 = 31,689.66 : x
  2. Step 2: Convert to fraction form
    56,646.99/84,933 = 31,689.66/x
  3. Step 3: Cross multiply
    56,646.99x = 84,933 × 31,689.66
  4. Step 4: Simplify right side
    56,646.99x = 2,691,497,892.78
  5. Step 5: Solve for x
    x = 2,691,497,892.78/56,646.99
  6. Step 6: Final answer
    x = 47,513.52

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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.