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Finding the Fourth Proportional to 30,697.74, 46,046.70 and 25,189.20

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Solution

The fourth proportional to 30,697.74, 46,046.70 and 25,189.20 is: 37,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.74 : 46,046.70 = 25,189.20 : x
  2. Step 2: Convert to fraction form
    30,697.74/46,046.70 = 25,189.20/x
  3. Step 3: Cross multiply
    30,697.74x = 46,046.70 × 25,189.20
  4. Step 4: Simplify right side
    30,697.74x = 1,159,879,535.64
  5. Step 5: Solve for x
    x = 1,159,879,535.64/30,697.74
  6. Step 6: Final answer
    x = 37,783.87

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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.