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Finding the Fourth Proportional to 53,257.50, 79,886.86 and 13,812.22

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Solution

The fourth proportional to 53,257.50, 79,886.86 and 13,812.22 is: 20,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257.50 : 79,886.86 = 13,812.22 : x
  2. Step 2: Convert to fraction form
    53,257.50/79,886.86 = 13,812.22/x
  3. Step 3: Cross multiply
    53,257.50x = 79,886.86 × 13,812.22
  4. Step 4: Simplify right side
    53,257.50x = 1,103,414,950.76
  5. Step 5: Solve for x
    x = 1,103,414,950.76/53,257.50
  6. Step 6: Final answer
    x = 20,718.49

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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.