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Finding the Fourth Proportional to 68,453.80, 102,570.30 and 38,783.40

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Solution

The fourth proportional to 68,453.80, 102,570.30 and 38,783.40 is: 58,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,453.80 : 102,570.30 = 38,783.40 : x
  2. Step 2: Convert to fraction form
    68,453.80/102,570.30 = 38,783.40/x
  3. Step 3: Cross multiply
    68,453.80x = 102,570.30 × 38,783.40
  4. Step 4: Simplify right side
    68,453.80x = 3,978,024,973.02
  5. Step 5: Solve for x
    x = 3,978,024,973.02/68,453.80
  6. Step 6: Final answer
    x = 58,112.55

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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.