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Finding the Fourth Proportional to 116,941.60, 175,414 and 38,056.24

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Solution

The fourth proportional to 116,941.60, 175,414 and 38,056.24 is: 57,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,941.60 : 175,414 = 38,056.24 : x
  2. Step 2: Convert to fraction form
    116,941.60/175,414 = 38,056.24/x
  3. Step 3: Cross multiply
    116,941.60x = 175,414 × 38,056.24
  4. Step 4: Simplify right side
    116,941.60x = 6,675,597,283.36
  5. Step 5: Solve for x
    x = 6,675,597,283.36/116,941.60
  6. Step 6: Final answer
    x = 57,084.88

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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.