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Finding the Fourth Proportional to 53,812.90, 80,713.90 and 14,374

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Solution

The fourth proportional to 53,812.90, 80,713.90 and 14,374 is: 21,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812.90 : 80,713.90 = 14,374 : x
  2. Step 2: Convert to fraction form
    53,812.90/80,713.90 = 14,374/x
  3. Step 3: Cross multiply
    53,812.90x = 80,713.90 × 14,374
  4. Step 4: Simplify right side
    53,812.90x = 1,160,181,598.60
  5. Step 5: Solve for x
    x = 1,160,181,598.60/53,812.90
  6. Step 6: Final answer
    x = 21,559.54

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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.