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Finding the Fourth Proportional to 30,476.12, 45,702 and 20,618.24

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Solution

The fourth proportional to 30,476.12, 45,702 and 20,618.24 is: 30,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.12 : 45,702 = 20,618.24 : x
  2. Step 2: Convert to fraction form
    30,476.12/45,702 = 20,618.24/x
  3. Step 3: Cross multiply
    30,476.12x = 45,702 × 20,618.24
  4. Step 4: Simplify right side
    30,476.12x = 942,294,804.48
  5. Step 5: Solve for x
    x = 942,294,804.48/30,476.12
  6. Step 6: Final answer
    x = 30,919.12

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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.