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Finding the Fourth Proportional to 53,857.20, 80,784.62 and 14,414.32

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Solution

The fourth proportional to 53,857.20, 80,784.62 and 14,414.32 is: 21,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.20 : 80,784.62 = 14,414.32 : x
  2. Step 2: Convert to fraction form
    53,857.20/80,784.62 = 14,414.32/x
  3. Step 3: Cross multiply
    53,857.20x = 80,784.62 × 14,414.32
  4. Step 4: Simplify right side
    53,857.20x = 1,164,455,363.76
  5. Step 5: Solve for x
    x = 1,164,455,363.76/53,857.20
  6. Step 6: Final answer
    x = 21,621.16

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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.