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Finding the Fourth Proportional to 109,399.50, 164,099.25 and 35,527.50

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Solution

The fourth proportional to 109,399.50, 164,099.25 and 35,527.50 is: 53,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399.50 : 164,099.25 = 35,527.50 : x
  2. Step 2: Convert to fraction form
    109,399.50/164,099.25 = 35,527.50/x
  3. Step 3: Cross multiply
    109,399.50x = 164,099.25 × 35,527.50
  4. Step 4: Simplify right side
    109,399.50x = 5,830,036,104.38
  5. Step 5: Solve for x
    x = 5,830,036,104.38/109,399.50
  6. Step 6: Final answer
    x = 53,291.25

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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.