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Finding the Fourth Proportional to 109,493.96, 164,197.50 and 37,428.92

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Solution

The fourth proportional to 109,493.96, 164,197.50 and 37,428.92 is: 56,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,493.96 : 164,197.50 = 37,428.92 : x
  2. Step 2: Convert to fraction form
    109,493.96/164,197.50 = 37,428.92/x
  3. Step 3: Cross multiply
    109,493.96x = 164,197.50 × 37,428.92
  4. Step 4: Simplify right side
    109,493.96x = 6,145,735,091.70
  5. Step 5: Solve for x
    x = 6,145,735,091.70/109,493.96
  6. Step 6: Final answer
    x = 56,128.53

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1.5x scale

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.