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Finding the Fourth Proportional to 38,823.21, 53,575.74 and 22,056.21

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Solution

The fourth proportional to 38,823.21, 53,575.74 and 22,056.21 is: 30,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,823.21 : 53,575.74 = 22,056.21 : x
  2. Step 2: Convert to fraction form
    38,823.21/53,575.74 = 22,056.21/x
  3. Step 3: Cross multiply
    38,823.21x = 53,575.74 × 22,056.21
  4. Step 4: Simplify right side
    38,823.21x = 1,181,677,772.35
  5. Step 5: Solve for x
    x = 1,181,677,772.35/38,823.21
  6. Step 6: Final answer
    x = 30,437.41

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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.