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Finding the Fourth Proportional to 38,556.77, 53,214.05 and 24,410.93

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Solution

The fourth proportional to 38,556.77, 53,214.05 and 24,410.93 is: 33,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,556.77 : 53,214.05 = 24,410.93 : x
  2. Step 2: Convert to fraction form
    38,556.77/53,214.05 = 24,410.93/x
  3. Step 3: Cross multiply
    38,556.77x = 53,214.05 × 24,410.93
  4. Step 4: Simplify right side
    38,556.77x = 1,299,004,327.51
  5. Step 5: Solve for x
    x = 1,299,004,327.51/38,556.77
  6. Step 6: Final answer
    x = 33,690.69

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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.