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Finding the Fourth Proportional to 53,081.46, 79,624.98 and 13,638.84

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Solution

The fourth proportional to 53,081.46, 79,624.98 and 13,638.84 is: 20,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081.46 : 79,624.98 = 13,638.84 : x
  2. Step 2: Convert to fraction form
    53,081.46/79,624.98 = 13,638.84/x
  3. Step 3: Cross multiply
    53,081.46x = 79,624.98 × 13,638.84
  4. Step 4: Simplify right side
    53,081.46x = 1,085,992,362.22
  5. Step 5: Solve for x
    x = 1,085,992,362.22/53,081.46
  6. Step 6: Final answer
    x = 20,458.98

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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.