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Finding the Fourth Proportional to 43,464, 59,980.32 and 23,592

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Solution

The fourth proportional to 43,464, 59,980.32 and 23,592 is: 32,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 59,980.32 = 23,592 : x
  2. Step 2: Convert to fraction form
    43,464/59,980.32 = 23,592/x
  3. Step 3: Cross multiply
    43,464x = 59,980.32 × 23,592
  4. Step 4: Simplify right side
    43,464x = 1,415,055,709.44
  5. Step 5: Solve for x
    x = 1,415,055,709.44/43,464
  6. Step 6: Final answer
    x = 32,556.96

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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.