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Finding the Fourth Proportional to 33,538.86, 46,267.47 and 21,598.38

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Solution

The fourth proportional to 33,538.86, 46,267.47 and 21,598.38 is: 29,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.86 : 46,267.47 = 21,598.38 : x
  2. Step 2: Convert to fraction form
    33,538.86/46,267.47 = 21,598.38/x
  3. Step 3: Cross multiply
    33,538.86x = 46,267.47 × 21,598.38
  4. Step 4: Simplify right side
    33,538.86x = 999,302,398.70
  5. Step 5: Solve for x
    x = 999,302,398.70/33,538.86
  6. Step 6: Final answer
    x = 29,795.36

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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.