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Finding the Fourth Proportional to 33,538.95, 46,294.05 and 21,602.25

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Solution

The fourth proportional to 33,538.95, 46,294.05 and 21,602.25 is: 29,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.95 : 46,294.05 = 21,602.25 : x
  2. Step 2: Convert to fraction form
    33,538.95/46,294.05 = 21,602.25/x
  3. Step 3: Cross multiply
    33,538.95x = 46,294.05 × 21,602.25
  4. Step 4: Simplify right side
    33,538.95x = 1,000,055,641.61
  5. Step 5: Solve for x
    x = 1,000,055,641.61/33,538.95
  6. Step 6: Final answer
    x = 29,817.74

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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.