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Finding the Fourth Proportional to 56,249.34, 77,639.49 and 35,016

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Solution

The fourth proportional to 56,249.34, 77,639.49 and 35,016 is: 48,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,249.34 : 77,639.49 = 35,016 : x
  2. Step 2: Convert to fraction form
    56,249.34/77,639.49 = 35,016/x
  3. Step 3: Cross multiply
    56,249.34x = 77,639.49 × 35,016
  4. Step 4: Simplify right side
    56,249.34x = 2,718,624,381.84
  5. Step 5: Solve for x
    x = 2,718,624,381.84/56,249.34
  6. Step 6: Final answer
    x = 48,331.67

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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.