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Finding the Fourth Proportional to 114,800.74, 172,200.87 and 31,694.50

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Solution

The fourth proportional to 114,800.74, 172,200.87 and 31,694.50 is: 47,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,800.74 : 172,200.87 = 31,694.50 : x
  2. Step 2: Convert to fraction form
    114,800.74/172,200.87 = 31,694.50/x
  3. Step 3: Cross multiply
    114,800.74x = 172,200.87 × 31,694.50
  4. Step 4: Simplify right side
    114,800.74x = 5,457,820,474.22
  5. Step 5: Solve for x
    x = 5,457,820,474.22/114,800.74
  6. Step 6: Final answer
    x = 47,541.68

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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.