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Finding the Fourth Proportional to 109,397.46, 164,096.20 and 35,525.46

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Solution

The fourth proportional to 109,397.46, 164,096.20 and 35,525.46 is: 53,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,397.46 : 164,096.20 = 35,525.46 : x
  2. Step 2: Convert to fraction form
    109,397.46/164,096.20 = 35,525.46/x
  3. Step 3: Cross multiply
    109,397.46x = 164,096.20 × 35,525.46
  4. Step 4: Simplify right side
    109,397.46x = 5,829,592,989.25
  5. Step 5: Solve for x
    x = 5,829,592,989.25/109,397.46
  6. Step 6: Final answer
    x = 53,288.19

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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.