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Finding the Fourth Proportional to 49,094.38, 73,641.58 and 14,034

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Solution

The fourth proportional to 49,094.38, 73,641.58 and 14,034 is: 21,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,094.38 : 73,641.58 = 14,034 : x
  2. Step 2: Convert to fraction form
    49,094.38/73,641.58 = 14,034/x
  3. Step 3: Cross multiply
    49,094.38x = 73,641.58 × 14,034
  4. Step 4: Simplify right side
    49,094.38x = 1,033,485,933.72
  5. Step 5: Solve for x
    x = 1,033,485,933.72/49,094.38
  6. Step 6: Final answer
    x = 21,051.00

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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.