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Finding the Fourth Proportional to 100,653.66, 151,002.27 and 30,538.26

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Solution

The fourth proportional to 100,653.66, 151,002.27 and 30,538.26 is: 45,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.66 : 151,002.27 = 30,538.26 : x
  2. Step 2: Convert to fraction form
    100,653.66/151,002.27 = 30,538.26/x
  3. Step 3: Cross multiply
    100,653.66x = 151,002.27 × 30,538.26
  4. Step 4: Simplify right side
    100,653.66x = 4,611,346,581.85
  5. Step 5: Solve for x
    x = 4,611,346,581.85/100,653.66
  6. Step 6: Final answer
    x = 45,814.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.