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Finding the Fourth Proportional to 32,204.17, 48,305.38 and 14,430

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Solution

The fourth proportional to 32,204.17, 48,305.38 and 14,430 is: 21,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.17 : 48,305.38 = 14,430 : x
  2. Step 2: Convert to fraction form
    32,204.17/48,305.38 = 14,430/x
  3. Step 3: Cross multiply
    32,204.17x = 48,305.38 × 14,430
  4. Step 4: Simplify right side
    32,204.17x = 697,046,633.40
  5. Step 5: Solve for x
    x = 697,046,633.40/32,204.17
  6. Step 6: Final answer
    x = 21,644.61

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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.