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Finding the Fourth Proportional to 38,466.52, 53,100 and 23,364.08

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Solution

The fourth proportional to 38,466.52, 53,100 and 23,364.08 is: 32,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.52 : 53,100 = 23,364.08 : x
  2. Step 2: Convert to fraction form
    38,466.52/53,100 = 23,364.08/x
  3. Step 3: Cross multiply
    38,466.52x = 53,100 × 23,364.08
  4. Step 4: Simplify right side
    38,466.52x = 1,240,632,648
  5. Step 5: Solve for x
    x = 1,240,632,648/38,466.52
  6. Step 6: Final answer
    x = 32,252.27

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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.