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Finding the Fourth Proportional to 38,412.77, 53,009.64 and 21,418.56

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Solution

The fourth proportional to 38,412.77, 53,009.64 and 21,418.56 is: 29,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.77 : 53,009.64 = 21,418.56 : x
  2. Step 2: Convert to fraction form
    38,412.77/53,009.64 = 21,418.56/x
  3. Step 3: Cross multiply
    38,412.77x = 53,009.64 × 21,418.56
  4. Step 4: Simplify right side
    38,412.77x = 1,135,390,154.92
  5. Step 5: Solve for x
    x = 1,135,390,154.92/38,412.77
  6. Step 6: Final answer
    x = 29,557.63

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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.