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Finding the Fourth Proportional to 30,476.68, 45,716.02 and 10,485.96

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Solution

The fourth proportional to 30,476.68, 45,716.02 and 10,485.96 is: 15,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.68 : 45,716.02 = 10,485.96 : x
  2. Step 2: Convert to fraction form
    30,476.68/45,716.02 = 10,485.96/x
  3. Step 3: Cross multiply
    30,476.68x = 45,716.02 × 10,485.96
  4. Step 4: Simplify right side
    30,476.68x = 479,376,357.08
  5. Step 5: Solve for x
    x = 479,376,357.08/30,476.68
  6. Step 6: Final answer
    x = 15,729.28

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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.