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Finding the Fourth Proportional to 39,498.78, 54,509.18 and 23,580.26

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Solution

The fourth proportional to 39,498.78, 54,509.18 and 23,580.26 is: 32,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,498.78 : 54,509.18 = 23,580.26 : x
  2. Step 2: Convert to fraction form
    39,498.78/54,509.18 = 23,580.26/x
  3. Step 3: Cross multiply
    39,498.78x = 54,509.18 × 23,580.26
  4. Step 4: Simplify right side
    39,498.78x = 1,285,340,246.34
  5. Step 5: Solve for x
    x = 1,285,340,246.34/39,498.78
  6. Step 6: Final answer
    x = 32,541.26

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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.