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Finding the Fourth Proportional to 30,777.67, 46,150.08 and 15,971.68

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Solution

The fourth proportional to 30,777.67, 46,150.08 and 15,971.68 is: 23,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.67 : 46,150.08 = 15,971.68 : x
  2. Step 2: Convert to fraction form
    30,777.67/46,150.08 = 15,971.68/x
  3. Step 3: Cross multiply
    30,777.67x = 46,150.08 × 15,971.68
  4. Step 4: Simplify right side
    30,777.67x = 737,094,309.73
  5. Step 5: Solve for x
    x = 737,094,309.73/30,777.67
  6. Step 6: Final answer
    x = 23,949.00

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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.