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Finding the Fourth Proportional to 56,006.41, 77,282.17 and 31,807.22

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Solution

The fourth proportional to 56,006.41, 77,282.17 and 31,807.22 is: 43,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,006.41 : 77,282.17 = 31,807.22 : x
  2. Step 2: Convert to fraction form
    56,006.41/77,282.17 = 31,807.22/x
  3. Step 3: Cross multiply
    56,006.41x = 77,282.17 × 31,807.22
  4. Step 4: Simplify right side
    56,006.41x = 2,458,130,517.34
  5. Step 5: Solve for x
    x = 2,458,130,517.34/56,006.41
  6. Step 6: Final answer
    x = 43,890.17

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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.