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Finding the Fourth Proportional to 108,199.76, 162,299.64 and 34,322

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Solution

The fourth proportional to 108,199.76, 162,299.64 and 34,322 is: 51,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,199.76 : 162,299.64 = 34,322 : x
  2. Step 2: Convert to fraction form
    108,199.76/162,299.64 = 34,322/x
  3. Step 3: Cross multiply
    108,199.76x = 162,299.64 × 34,322
  4. Step 4: Simplify right side
    108,199.76x = 5,570,448,244.08
  5. Step 5: Solve for x
    x = 5,570,448,244.08/108,199.76
  6. Step 6: Final answer
    x = 51,483.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.