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Finding the Fourth Proportional to 70,408, 105,600.48 and 49,568.32

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Solution

The fourth proportional to 70,408, 105,600.48 and 49,568.32 is: 74,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408 : 105,600.48 = 49,568.32 : x
  2. Step 2: Convert to fraction form
    70,408/105,600.48 = 49,568.32/x
  3. Step 3: Cross multiply
    70,408x = 105,600.48 × 49,568.32
  4. Step 4: Simplify right side
    70,408x = 5,234,438,384.79
  5. Step 5: Solve for x
    x = 5,234,438,384.79/70,408
  6. Step 6: Final answer
    x = 74,344.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.