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Finding the Fourth Proportional to 103,057.50, 154,529.45 and 31,960.46

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Solution

The fourth proportional to 103,057.50, 154,529.45 and 31,960.46 is: 47,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,057.50 : 154,529.45 = 31,960.46 : x
  2. Step 2: Convert to fraction form
    103,057.50/154,529.45 = 31,960.46/x
  3. Step 3: Cross multiply
    103,057.50x = 154,529.45 × 31,960.46
  4. Step 4: Simplify right side
    103,057.50x = 4,938,832,305.55
  5. Step 5: Solve for x
    x = 4,938,832,305.55/103,057.50
  6. Step 6: Final answer
    x = 47,923.08

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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.