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Finding the Fourth Proportional to 32,034.36, 48,051.54 and 11,253

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Solution

The fourth proportional to 32,034.36, 48,051.54 and 11,253 is: 16,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.36 : 48,051.54 = 11,253 : x
  2. Step 2: Convert to fraction form
    32,034.36/48,051.54 = 11,253/x
  3. Step 3: Cross multiply
    32,034.36x = 48,051.54 × 11,253
  4. Step 4: Simplify right side
    32,034.36x = 540,723,979.62
  5. Step 5: Solve for x
    x = 540,723,979.62/32,034.36
  6. Step 6: Final answer
    x = 16,879.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.