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Finding the Fourth Proportional to 49,461.32, 68,219.32 and 34,353.96

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Solution

The fourth proportional to 49,461.32, 68,219.32 and 34,353.96 is: 47,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,461.32 : 68,219.32 = 34,353.96 : x
  2. Step 2: Convert to fraction form
    49,461.32/68,219.32 = 34,353.96/x
  3. Step 3: Cross multiply
    49,461.32x = 68,219.32 × 34,353.96
  4. Step 4: Simplify right side
    49,461.32x = 2,343,603,790.51
  5. Step 5: Solve for x
    x = 2,343,603,790.51/49,461.32
  6. Step 6: Final answer
    x = 47,382.56

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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.