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Finding the Fourth Proportional to 57,642.67, 86,477.37 and 22,582.63

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Solution

The fourth proportional to 57,642.67, 86,477.37 and 22,582.63 is: 33,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.67 : 86,477.37 = 22,582.63 : x
  2. Step 2: Convert to fraction form
    57,642.67/86,477.37 = 22,582.63/x
  3. Step 3: Cross multiply
    57,642.67x = 86,477.37 × 22,582.63
  4. Step 4: Simplify right side
    57,642.67x = 1,952,885,904.78
  5. Step 5: Solve for x
    x = 1,952,885,904.78/57,642.67
  6. Step 6: Final answer
    x = 33,879.17

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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.