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Finding the Fourth Proportional to 181,566.75, 272,350.16 and 48,447.51

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Solution

The fourth proportional to 181,566.75, 272,350.16 and 48,447.51 is: 72,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,566.75 : 272,350.16 = 48,447.51 : x
  2. Step 2: Convert to fraction form
    181,566.75/272,350.16 = 48,447.51/x
  3. Step 3: Cross multiply
    181,566.75x = 272,350.16 × 48,447.51
  4. Step 4: Simplify right side
    181,566.75x = 13,194,687,100.10
  5. Step 5: Solve for x
    x = 13,194,687,100.10/181,566.75
  6. Step 6: Final answer
    x = 72,671.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.