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Finding the Fourth Proportional to 69,669.94, 104,461.16 and 31,730.95

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Solution

The fourth proportional to 69,669.94, 104,461.16 and 31,730.95 is: 47,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,669.94 : 104,461.16 = 31,730.95 : x
  2. Step 2: Convert to fraction form
    69,669.94/104,461.16 = 31,730.95/x
  3. Step 3: Cross multiply
    69,669.94x = 104,461.16 × 31,730.95
  4. Step 4: Simplify right side
    69,669.94x = 3,314,651,844.90
  5. Step 5: Solve for x
    x = 3,314,651,844.90/69,669.94
  6. Step 6: Final answer
    x = 47,576.50

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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.