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Finding the Fourth Proportional to 29,829.76, 44,743.60 and 7,643.32

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Solution

The fourth proportional to 29,829.76, 44,743.60 and 7,643.32 is: 11,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.76 : 44,743.60 = 7,643.32 : x
  2. Step 2: Convert to fraction form
    29,829.76/44,743.60 = 7,643.32/x
  3. Step 3: Cross multiply
    29,829.76x = 44,743.60 × 7,643.32
  4. Step 4: Simplify right side
    29,829.76x = 341,989,652.75
  5. Step 5: Solve for x
    x = 341,989,652.75/29,829.76
  6. Step 6: Final answer
    x = 11,464.71

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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.