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Finding the Fourth Proportional to 32,864.30, 49,301.85 and 14,153.30

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Solution

The fourth proportional to 32,864.30, 49,301.85 and 14,153.30 is: 21,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864.30 : 49,301.85 = 14,153.30 : x
  2. Step 2: Convert to fraction form
    32,864.30/49,301.85 = 14,153.30/x
  3. Step 3: Cross multiply
    32,864.30x = 49,301.85 × 14,153.30
  4. Step 4: Simplify right side
    32,864.30x = 697,783,873.61
  5. Step 5: Solve for x
    x = 697,783,873.61/32,864.30
  6. Step 6: Final answer
    x = 21,232.28

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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.