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Finding the Fourth Proportional to 53,690.88, 80,538.16 and 14,252

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Solution

The fourth proportional to 53,690.88, 80,538.16 and 14,252 is: 21,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,690.88 : 80,538.16 = 14,252 : x
  2. Step 2: Convert to fraction form
    53,690.88/80,538.16 = 14,252/x
  3. Step 3: Cross multiply
    53,690.88x = 80,538.16 × 14,252
  4. Step 4: Simplify right side
    53,690.88x = 1,147,829,856.32
  5. Step 5: Solve for x
    x = 1,147,829,856.32/53,690.88
  6. Step 6: Final answer
    x = 21,378.49

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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.