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Finding the Fourth Proportional to 76,563.64, 105,648.42 and 44,709.40

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Solution

The fourth proportional to 76,563.64, 105,648.42 and 44,709.40 is: 61,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.64 : 105,648.42 = 44,709.40 : x
  2. Step 2: Convert to fraction form
    76,563.64/105,648.42 = 44,709.40/x
  3. Step 3: Cross multiply
    76,563.64x = 105,648.42 × 44,709.40
  4. Step 4: Simplify right side
    76,563.64x = 4,723,477,469.15
  5. Step 5: Solve for x
    x = 4,723,477,469.15/76,563.64
  6. Step 6: Final answer
    x = 61,693.48

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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.