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Finding the Fourth Proportional to 70,564.16, 105,845.04 and 33,115.52

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Solution

The fourth proportional to 70,564.16, 105,845.04 and 33,115.52 is: 49,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564.16 : 105,845.04 = 33,115.52 : x
  2. Step 2: Convert to fraction form
    70,564.16/105,845.04 = 33,115.52/x
  3. Step 3: Cross multiply
    70,564.16x = 105,845.04 × 33,115.52
  4. Step 4: Simplify right side
    70,564.16x = 3,505,113,539.02
  5. Step 5: Solve for x
    x = 3,505,113,539.02/70,564.16
  6. Step 6: Final answer
    x = 49,672.72

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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.