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Finding the Fourth Proportional to 33,507.20, 46,233.50 and 21,414

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Solution

The fourth proportional to 33,507.20, 46,233.50 and 21,414 is: 29,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507.20 : 46,233.50 = 21,414 : x
  2. Step 2: Convert to fraction form
    33,507.20/46,233.50 = 21,414/x
  3. Step 3: Cross multiply
    33,507.20x = 46,233.50 × 21,414
  4. Step 4: Simplify right side
    33,507.20x = 990,044,169
  5. Step 5: Solve for x
    x = 990,044,169/33,507.20
  6. Step 6: Final answer
    x = 29,547.21

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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.