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Finding the Fourth Proportional to 30,610.28, 45,913.80 and 9,832.16

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Solution

The fourth proportional to 30,610.28, 45,913.80 and 9,832.16 is: 14,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610.28 : 45,913.80 = 9,832.16 : x
  2. Step 2: Convert to fraction form
    30,610.28/45,913.80 = 9,832.16/x
  3. Step 3: Cross multiply
    30,610.28x = 45,913.80 × 9,832.16
  4. Step 4: Simplify right side
    30,610.28x = 451,431,827.81
  5. Step 5: Solve for x
    x = 451,431,827.81/30,610.28
  6. Step 6: Final answer
    x = 14,747.72

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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.