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Finding the Fourth Proportional to 106,759.67, 147,328.38 and 59,013

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Solution

The fourth proportional to 106,759.67, 147,328.38 and 59,013 is: 81,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,759.67 : 147,328.38 = 59,013 : x
  2. Step 2: Convert to fraction form
    106,759.67/147,328.38 = 59,013/x
  3. Step 3: Cross multiply
    106,759.67x = 147,328.38 × 59,013
  4. Step 4: Simplify right side
    106,759.67x = 8,694,289,688.94
  5. Step 5: Solve for x
    x = 8,694,289,688.94/106,759.67
  6. Step 6: Final answer
    x = 81,437.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.