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Finding the Fourth Proportional to 53,602.14, 80,397.50 and 22,015.47

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Solution

The fourth proportional to 53,602.14, 80,397.50 and 22,015.47 is: 33,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.14 : 80,397.50 = 22,015.47 : x
  2. Step 2: Convert to fraction form
    53,602.14/80,397.50 = 22,015.47/x
  3. Step 3: Cross multiply
    53,602.14x = 80,397.50 × 22,015.47
  4. Step 4: Simplify right side
    53,602.14x = 1,769,988,639.25
  5. Step 5: Solve for x
    x = 1,769,988,639.25/53,602.14
  6. Step 6: Final answer
    x = 33,020.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.