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Finding the Fourth Proportional to 56,500, 77,969.94 and 31,006.52

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Solution

The fourth proportional to 56,500, 77,969.94 and 31,006.52 is: 42,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500 : 77,969.94 = 31,006.52 : x
  2. Step 2: Convert to fraction form
    56,500/77,969.94 = 31,006.52/x
  3. Step 3: Cross multiply
    56,500x = 77,969.94 × 31,006.52
  4. Step 4: Simplify right side
    56,500x = 2,417,576,504.01
  5. Step 5: Solve for x
    x = 2,417,576,504.01/56,500
  6. Step 6: Final answer
    x = 42,788.96

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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.