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Finding the Fourth Proportional to 114,624.60, 171,954.18 and 35,745

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Solution

The fourth proportional to 114,624.60, 171,954.18 and 35,745 is: 53,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,624.60 : 171,954.18 = 35,745 : x
  2. Step 2: Convert to fraction form
    114,624.60/171,954.18 = 35,745/x
  3. Step 3: Cross multiply
    114,624.60x = 171,954.18 × 35,745
  4. Step 4: Simplify right side
    114,624.60x = 6,146,502,164.10
  5. Step 5: Solve for x
    x = 6,146,502,164.10/114,624.60
  6. Step 6: Final answer
    x = 53,622.89

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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.