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Finding the Fourth Proportional to 38,310.45, 57,465.78 and 11,656.70

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Solution

The fourth proportional to 38,310.45, 57,465.78 and 11,656.70 is: 17,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310.45 : 57,465.78 = 11,656.70 : x
  2. Step 2: Convert to fraction form
    38,310.45/57,465.78 = 11,656.70/x
  3. Step 3: Cross multiply
    38,310.45x = 57,465.78 × 11,656.70
  4. Step 4: Simplify right side
    38,310.45x = 669,861,070.40
  5. Step 5: Solve for x
    x = 669,861,070.40/38,310.45
  6. Step 6: Final answer
    x = 17,485.07

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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.