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Finding the Fourth Proportional to 106,703.55, 160,063.43 and 31,817.84

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Solution

The fourth proportional to 106,703.55, 160,063.43 and 31,817.84 is: 47,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,703.55 : 160,063.43 = 31,817.84 : x
  2. Step 2: Convert to fraction form
    106,703.55/160,063.43 = 31,817.84/x
  3. Step 3: Cross multiply
    106,703.55x = 160,063.43 × 31,817.84
  4. Step 4: Simplify right side
    106,703.55x = 5,092,871,646.18
  5. Step 5: Solve for x
    x = 5,092,871,646.18/106,703.55
  6. Step 6: Final answer
    x = 47,729.17

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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.