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Finding the Fourth Proportional to 114,799.74, 172,199.37 and 31,693.50

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Solution

The fourth proportional to 114,799.74, 172,199.37 and 31,693.50 is: 47,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,799.74 : 172,199.37 = 31,693.50 : x
  2. Step 2: Convert to fraction form
    114,799.74/172,199.37 = 31,693.50/x
  3. Step 3: Cross multiply
    114,799.74x = 172,199.37 × 31,693.50
  4. Step 4: Simplify right side
    114,799.74x = 5,457,600,733.10
  5. Step 5: Solve for x
    x = 5,457,600,733.10/114,799.74
  6. Step 6: Final answer
    x = 47,540.18

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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.