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Finding the Fourth Proportional to 106,576.31, 147,074.80 and 58,829.24

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Solution

The fourth proportional to 106,576.31, 147,074.80 and 58,829.24 is: 81,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,576.31 : 147,074.80 = 58,829.24 : x
  2. Step 2: Convert to fraction form
    106,576.31/147,074.80 = 58,829.24/x
  3. Step 3: Cross multiply
    106,576.31x = 147,074.80 × 58,829.24
  4. Step 4: Simplify right side
    106,576.31x = 8,652,298,413.01
  5. Step 5: Solve for x
    x = 8,652,298,413.01/106,576.31
  6. Step 6: Final answer
    x = 81,184.07

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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.