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Finding the Fourth Proportional to 33,499, 46,267.50 and 22,301.56

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Solution

The fourth proportional to 33,499, 46,267.50 and 22,301.56 is: 30,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,499 : 46,267.50 = 22,301.56 : x
  2. Step 2: Convert to fraction form
    33,499/46,267.50 = 22,301.56/x
  3. Step 3: Cross multiply
    33,499x = 46,267.50 × 22,301.56
  4. Step 4: Simplify right side
    33,499x = 1,031,837,427.30
  5. Step 5: Solve for x
    x = 1,031,837,427.30/33,499
  6. Step 6: Final answer
    x = 30,802.04

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