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Finding the Fourth Proportional to 103,409.46, 155,114.19 and 29,537.46

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Solution

The fourth proportional to 103,409.46, 155,114.19 and 29,537.46 is: 44,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,409.46 : 155,114.19 = 29,537.46 : x
  2. Step 2: Convert to fraction form
    103,409.46/155,114.19 = 29,537.46/x
  3. Step 3: Cross multiply
    103,409.46x = 155,114.19 × 29,537.46
  4. Step 4: Simplify right side
    103,409.46x = 4,581,679,182.56
  5. Step 5: Solve for x
    x = 4,581,679,182.56/103,409.46
  6. Step 6: Final answer
    x = 44,306.19

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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.