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Finding the Fourth Proportional to 73,608.40, 101,582.70 and 41,780.26

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Solution

The fourth proportional to 73,608.40, 101,582.70 and 41,780.26 is: 57,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,608.40 : 101,582.70 = 41,780.26 : x
  2. Step 2: Convert to fraction form
    73,608.40/101,582.70 = 41,780.26/x
  3. Step 3: Cross multiply
    73,608.40x = 101,582.70 × 41,780.26
  4. Step 4: Simplify right side
    73,608.40x = 4,244,151,109.59
  5. Step 5: Solve for x
    x = 4,244,151,109.59/73,608.40
  6. Step 6: Final answer
    x = 57,658.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.