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Finding the Fourth Proportional to 53,102.39, 79,653.81 and 21,513.07

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Solution

The fourth proportional to 53,102.39, 79,653.81 and 21,513.07 is: 32,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.39 : 79,653.81 = 21,513.07 : x
  2. Step 2: Convert to fraction form
    53,102.39/79,653.81 = 21,513.07/x
  3. Step 3: Cross multiply
    53,102.39x = 79,653.81 × 21,513.07
  4. Step 4: Simplify right side
    53,102.39x = 1,713,597,592.03
  5. Step 5: Solve for x
    x = 1,713,597,592.03/53,102.39
  6. Step 6: Final answer
    x = 32,269.69

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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.