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Finding the Fourth Proportional to 30,046.72, 45,051 and 15,998.08

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Solution

The fourth proportional to 30,046.72, 45,051 and 15,998.08 is: 23,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.72 : 45,051 = 15,998.08 : x
  2. Step 2: Convert to fraction form
    30,046.72/45,051 = 15,998.08/x
  3. Step 3: Cross multiply
    30,046.72x = 45,051 × 15,998.08
  4. Step 4: Simplify right side
    30,046.72x = 720,729,502.08
  5. Step 5: Solve for x
    x = 720,729,502.08/30,046.72
  6. Step 6: Final answer
    x = 23,986.96

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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.