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Finding the Fourth Proportional to 50,416.96, 69,576.90 and 27,758.32

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Solution

The fourth proportional to 50,416.96, 69,576.90 and 27,758.32 is: 38,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,416.96 : 69,576.90 = 27,758.32 : x
  2. Step 2: Convert to fraction form
    50,416.96/69,576.90 = 27,758.32/x
  3. Step 3: Cross multiply
    50,416.96x = 69,576.90 × 27,758.32
  4. Step 4: Simplify right side
    50,416.96x = 1,931,337,854.81
  5. Step 5: Solve for x
    x = 1,931,337,854.81/50,416.96
  6. Step 6: Final answer
    x = 38,307.30

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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.