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Finding the Fourth Proportional to 69,408.68, 95,784.04 and 37,577.60

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Solution

The fourth proportional to 69,408.68, 95,784.04 and 37,577.60 is: 51,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,408.68 : 95,784.04 = 37,577.60 : x
  2. Step 2: Convert to fraction form
    69,408.68/95,784.04 = 37,577.60/x
  3. Step 3: Cross multiply
    69,408.68x = 95,784.04 × 37,577.60
  4. Step 4: Simplify right side
    69,408.68x = 3,599,334,341.50
  5. Step 5: Solve for x
    x = 3,599,334,341.50/69,408.68
  6. Step 6: Final answer
    x = 51,857.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.