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Finding the Fourth Proportional to 30,534.99, 45,814.02 and 11,816.16

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Solution

The fourth proportional to 30,534.99, 45,814.02 and 11,816.16 is: 17,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.99 : 45,814.02 = 11,816.16 : x
  2. Step 2: Convert to fraction form
    30,534.99/45,814.02 = 11,816.16/x
  3. Step 3: Cross multiply
    30,534.99x = 45,814.02 × 11,816.16
  4. Step 4: Simplify right side
    30,534.99x = 541,345,790.56
  5. Step 5: Solve for x
    x = 541,345,790.56/30,534.99
  6. Step 6: Final answer
    x = 17,728.70

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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.