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Finding the Fourth Proportional to 53,093.48, 79,645.92 and 15,653.84

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Solution

The fourth proportional to 53,093.48, 79,645.92 and 15,653.84 is: 23,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,093.48 : 79,645.92 = 15,653.84 : x
  2. Step 2: Convert to fraction form
    53,093.48/79,645.92 = 15,653.84/x
  3. Step 3: Cross multiply
    53,093.48x = 79,645.92 × 15,653.84
  4. Step 4: Simplify right side
    53,093.48x = 1,246,764,488.33
  5. Step 5: Solve for x
    x = 1,246,764,488.33/53,093.48
  6. Step 6: Final answer
    x = 23,482.44

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Why These Related Problems?

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