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Finding the Fourth Proportional to 106,050.80, 159,082.08 and 34,970.57

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Solution

The fourth proportional to 106,050.80, 159,082.08 and 34,970.57 is: 52,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,050.80 : 159,082.08 = 34,970.57 : x
  2. Step 2: Convert to fraction form
    106,050.80/159,082.08 = 34,970.57/x
  3. Step 3: Cross multiply
    106,050.80x = 159,082.08 × 34,970.57
  4. Step 4: Simplify right side
    106,050.80x = 5,563,191,014.39
  5. Step 5: Solve for x
    x = 5,563,191,014.39/106,050.80
  6. Step 6: Final answer
    x = 52,457.79

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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.