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Finding the Fourth Proportional to 30,847.32, 46,233.96 and 14,184.48

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Solution

The fourth proportional to 30,847.32, 46,233.96 and 14,184.48 is: 21,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.32 : 46,233.96 = 14,184.48 : x
  2. Step 2: Convert to fraction form
    30,847.32/46,233.96 = 14,184.48/x
  3. Step 3: Cross multiply
    30,847.32x = 46,233.96 × 14,184.48
  4. Step 4: Simplify right side
    30,847.32x = 655,804,680.94
  5. Step 5: Solve for x
    x = 655,804,680.94/30,847.32
  6. Step 6: Final answer
    x = 21,259.70

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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.