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Finding the Fourth Proportional to 49,281, 73,933.20 and 16,001.16

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Solution

The fourth proportional to 49,281, 73,933.20 and 16,001.16 is: 24,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,281 : 73,933.20 = 16,001.16 : x
  2. Step 2: Convert to fraction form
    49,281/73,933.20 = 16,001.16/x
  3. Step 3: Cross multiply
    49,281x = 73,933.20 × 16,001.16
  4. Step 4: Simplify right side
    49,281x = 1,183,016,962.51
  5. Step 5: Solve for x
    x = 1,183,016,962.51/49,281
  6. Step 6: Final answer
    x = 24,005.54

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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.