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Finding the Fourth Proportional to 161,582.48, 242,400 and 47,741.84

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Solution

The fourth proportional to 161,582.48, 242,400 and 47,741.84 is: 71,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,582.48 : 242,400 = 47,741.84 : x
  2. Step 2: Convert to fraction form
    161,582.48/242,400 = 47,741.84/x
  3. Step 3: Cross multiply
    161,582.48x = 242,400 × 47,741.84
  4. Step 4: Simplify right side
    161,582.48x = 11,572,622,016
  5. Step 5: Solve for x
    x = 11,572,622,016/161,582.48
  6. Step 6: Final answer
    x = 71,620.52

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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.