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Finding the Fourth Proportional to 27,048.52, 37,289.32 and 23,311.45

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Solution

The fourth proportional to 27,048.52, 37,289.32 and 23,311.45 is: 32,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048.52 : 37,289.32 = 23,311.45 : x
  2. Step 2: Convert to fraction form
    27,048.52/37,289.32 = 23,311.45/x
  3. Step 3: Cross multiply
    27,048.52x = 37,289.32 × 23,311.45
  4. Step 4: Simplify right side
    27,048.52x = 869,268,118.71
  5. Step 5: Solve for x
    x = 869,268,118.71/27,048.52
  6. Step 6: Final answer
    x = 32,137.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.