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Finding the Fourth Proportional to 100,945.20, 151,417.80 and 30,824.40

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Solution

The fourth proportional to 100,945.20, 151,417.80 and 30,824.40 is: 46,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,945.20 : 151,417.80 = 30,824.40 : x
  2. Step 2: Convert to fraction form
    100,945.20/151,417.80 = 30,824.40/x
  3. Step 3: Cross multiply
    100,945.20x = 151,417.80 × 30,824.40
  4. Step 4: Simplify right side
    100,945.20x = 4,667,362,834.32
  5. Step 5: Solve for x
    x = 4,667,362,834.32/100,945.20
  6. Step 6: Final answer
    x = 46,236.60

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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.