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Finding the Fourth Proportional to 38,584.61, 53,216.73 and 25,833.74

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Solution

The fourth proportional to 38,584.61, 53,216.73 and 25,833.74 is: 35,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584.61 : 53,216.73 = 25,833.74 : x
  2. Step 2: Convert to fraction form
    38,584.61/53,216.73 = 25,833.74/x
  3. Step 3: Cross multiply
    38,584.61x = 53,216.73 × 25,833.74
  4. Step 4: Simplify right side
    38,584.61x = 1,374,786,900.39
  5. Step 5: Solve for x
    x = 1,374,786,900.39/38,584.61
  6. Step 6: Final answer
    x = 35,630.45

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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.