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Finding the Fourth Proportional to 116,482.43, 174,732 and 31,092.84

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Solution

The fourth proportional to 116,482.43, 174,732 and 31,092.84 is: 46,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,482.43 : 174,732 = 31,092.84 : x
  2. Step 2: Convert to fraction form
    116,482.43/174,732 = 31,092.84/x
  3. Step 3: Cross multiply
    116,482.43x = 174,732 × 31,092.84
  4. Step 4: Simplify right side
    116,482.43x = 5,432,914,118.88
  5. Step 5: Solve for x
    x = 5,432,914,118.88/116,482.43
  6. Step 6: Final answer
    x = 46,641.49

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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.