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Finding the Fourth Proportional to 38,566.86, 53,213.63 and 24,411.48

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Solution

The fourth proportional to 38,566.86, 53,213.63 and 24,411.48 is: 33,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,566.86 : 53,213.63 = 24,411.48 : x
  2. Step 2: Convert to fraction form
    38,566.86/53,213.63 = 24,411.48/x
  3. Step 3: Cross multiply
    38,566.86x = 53,213.63 × 24,411.48
  4. Step 4: Simplify right side
    38,566.86x = 1,299,023,342.42
  5. Step 5: Solve for x
    x = 1,299,023,342.42/38,566.86
  6. Step 6: Final answer
    x = 33,682.37

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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.