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Finding the Fourth Proportional to 53,389.88, 80,085.60 and 13,947

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Solution

The fourth proportional to 53,389.88, 80,085.60 and 13,947 is: 20,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,389.88 : 80,085.60 = 13,947 : x
  2. Step 2: Convert to fraction form
    53,389.88/80,085.60 = 13,947/x
  3. Step 3: Cross multiply
    53,389.88x = 80,085.60 × 13,947
  4. Step 4: Simplify right side
    53,389.88x = 1,116,953,863.20
  5. Step 5: Solve for x
    x = 1,116,953,863.20/53,389.88
  6. Step 6: Final answer
    x = 20,920.70

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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.