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Finding the Fourth Proportional to 34,868, 48,050.64 and 22,270.88

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Solution

The fourth proportional to 34,868, 48,050.64 and 22,270.88 is: 30,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,868 : 48,050.64 = 22,270.88 : x
  2. Step 2: Convert to fraction form
    34,868/48,050.64 = 22,270.88/x
  3. Step 3: Cross multiply
    34,868x = 48,050.64 × 22,270.88
  4. Step 4: Simplify right side
    34,868x = 1,070,130,037.36
  5. Step 5: Solve for x
    x = 1,070,130,037.36/34,868
  6. Step 6: Final answer
    x = 30,690.89

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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.