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Finding the Fourth Proportional to 106,952.49, 160,586.43 and 59,659.98

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Solution

The fourth proportional to 106,952.49, 160,586.43 and 59,659.98 is: 89,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.49 : 160,586.43 = 59,659.98 : x
  2. Step 2: Convert to fraction form
    106,952.49/160,586.43 = 59,659.98/x
  3. Step 3: Cross multiply
    106,952.49x = 160,586.43 × 59,659.98
  4. Step 4: Simplify right side
    106,952.49x = 9,580,583,202.07
  5. Step 5: Solve for x
    x = 9,580,583,202.07/106,952.49
  6. Step 6: Final answer
    x = 89,577.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.