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Finding the Fourth Proportional to 103,185.35, 154,729.71 and 36,624

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Solution

The fourth proportional to 103,185.35, 154,729.71 and 36,624 is: 54,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,185.35 : 154,729.71 = 36,624 : x
  2. Step 2: Convert to fraction form
    103,185.35/154,729.71 = 36,624/x
  3. Step 3: Cross multiply
    103,185.35x = 154,729.71 × 36,624
  4. Step 4: Simplify right side
    103,185.35x = 5,666,820,899.04
  5. Step 5: Solve for x
    x = 5,666,820,899.04/103,185.35
  6. Step 6: Final answer
    x = 54,918.85

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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.