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Finding the Fourth Proportional to 40,813.12, 61,224 and 14,520.32

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Solution

The fourth proportional to 40,813.12, 61,224 and 14,520.32 is: 21,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,813.12 : 61,224 = 14,520.32 : x
  2. Step 2: Convert to fraction form
    40,813.12/61,224 = 14,520.32/x
  3. Step 3: Cross multiply
    40,813.12x = 61,224 × 14,520.32
  4. Step 4: Simplify right side
    40,813.12x = 888,992,071.68
  5. Step 5: Solve for x
    x = 888,992,071.68/40,813.12
  6. Step 6: Final answer
    x = 21,782.02

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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.