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Finding the Fourth Proportional to 38,593.81, 53,260.77 and 22,678.03

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Solution

The fourth proportional to 38,593.81, 53,260.77 and 22,678.03 is: 31,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,593.81 : 53,260.77 = 22,678.03 : x
  2. Step 2: Convert to fraction form
    38,593.81/53,260.77 = 22,678.03/x
  3. Step 3: Cross multiply
    38,593.81x = 53,260.77 × 22,678.03
  4. Step 4: Simplify right side
    38,593.81x = 1,207,849,339.88
  5. Step 5: Solve for x
    x = 1,207,849,339.88/38,593.81
  6. Step 6: Final answer
    x = 31,296.45

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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.