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Finding the Fourth Proportional to 64,179.76, 88,576.32 and 35,887

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Solution

The fourth proportional to 64,179.76, 88,576.32 and 35,887 is: 49,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,179.76 : 88,576.32 = 35,887 : x
  2. Step 2: Convert to fraction form
    64,179.76/88,576.32 = 35,887/x
  3. Step 3: Cross multiply
    64,179.76x = 88,576.32 × 35,887
  4. Step 4: Simplify right side
    64,179.76x = 3,178,738,395.84
  5. Step 5: Solve for x
    x = 3,178,738,395.84/64,179.76
  6. Step 6: Final answer
    x = 49,528.67

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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.