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Finding the Fourth Proportional to 103,617, 155,451.60 and 29,745

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Solution

The fourth proportional to 103,617, 155,451.60 and 29,745 is: 44,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617 : 155,451.60 = 29,745 : x
  2. Step 2: Convert to fraction form
    103,617/155,451.60 = 29,745/x
  3. Step 3: Cross multiply
    103,617x = 155,451.60 × 29,745
  4. Step 4: Simplify right side
    103,617x = 4,623,907,842
  5. Step 5: Solve for x
    x = 4,623,907,842/103,617
  6. Step 6: Final answer
    x = 44,624.99

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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.