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Finding the Fourth Proportional to 35,812.88, 53,719.31 and 11,188.88

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Solution

The fourth proportional to 35,812.88, 53,719.31 and 11,188.88 is: 16,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.88 : 53,719.31 = 11,188.88 : x
  2. Step 2: Convert to fraction form
    35,812.88/53,719.31 = 11,188.88/x
  3. Step 3: Cross multiply
    35,812.88x = 53,719.31 × 11,188.88
  4. Step 4: Simplify right side
    35,812.88x = 601,058,672.65
  5. Step 5: Solve for x
    x = 601,058,672.65/35,812.88
  6. Step 6: Final answer
    x = 16,783.31

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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.