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Finding the Fourth Proportional to 109,495.64, 164,218.35 and 30,615.41

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Solution

The fourth proportional to 109,495.64, 164,218.35 and 30,615.41 is: 45,916.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,495.64 : 164,218.35 = 30,615.41 : x
  2. Step 2: Convert to fraction form
    109,495.64/164,218.35 = 30,615.41/x
  3. Step 3: Cross multiply
    109,495.64x = 164,218.35 × 30,615.41
  4. Step 4: Simplify right side
    109,495.64x = 5,027,612,114.77
  5. Step 5: Solve for x
    x = 5,027,612,114.77/109,495.64
  6. Step 6: Final answer
    x = 45,916.09

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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.