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Finding the Fourth Proportional to 37,984.60, 57,009.30 and 30,597.40

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Solution

The fourth proportional to 37,984.60, 57,009.30 and 30,597.40 is: 45,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984.60 : 57,009.30 = 30,597.40 : x
  2. Step 2: Convert to fraction form
    37,984.60/57,009.30 = 30,597.40/x
  3. Step 3: Cross multiply
    37,984.60x = 57,009.30 × 30,597.40
  4. Step 4: Simplify right side
    37,984.60x = 1,744,336,355.82
  5. Step 5: Solve for x
    x = 1,744,336,355.82/37,984.60
  6. Step 6: Final answer
    x = 45,922.20

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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.