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Finding the Fourth Proportional to 103,100.85, 154,654.11 and 32,980.23

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Solution

The fourth proportional to 103,100.85, 154,654.11 and 32,980.23 is: 49,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,100.85 : 154,654.11 = 32,980.23 : x
  2. Step 2: Convert to fraction form
    103,100.85/154,654.11 = 32,980.23/x
  3. Step 3: Cross multiply
    103,100.85x = 154,654.11 × 32,980.23
  4. Step 4: Simplify right side
    103,100.85x = 5,100,528,118.25
  5. Step 5: Solve for x
    x = 5,100,528,118.25/103,100.85
  6. Step 6: Final answer
    x = 49,471.25

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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.