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Finding the Fourth Proportional to 38,412.60, 53,011.44 and 22,498.26

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Solution

The fourth proportional to 38,412.60, 53,011.44 and 22,498.26 is: 31,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412.60 : 53,011.44 = 22,498.26 : x
  2. Step 2: Convert to fraction form
    38,412.60/53,011.44 = 22,498.26/x
  3. Step 3: Cross multiply
    38,412.60x = 53,011.44 × 22,498.26
  4. Step 4: Simplify right side
    38,412.60x = 1,192,665,160.09
  5. Step 5: Solve for x
    x = 1,192,665,160.09/38,412.60
  6. Step 6: Final answer
    x = 31,048.80

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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.