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Finding the Fourth Proportional to 38,586.68, 53,258.28 and 22,676.24

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Solution

The fourth proportional to 38,586.68, 53,258.28 and 22,676.24 is: 31,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586.68 : 53,258.28 = 22,676.24 : x
  2. Step 2: Convert to fraction form
    38,586.68/53,258.28 = 22,676.24/x
  3. Step 3: Cross multiply
    38,586.68x = 53,258.28 × 22,676.24
  4. Step 4: Simplify right side
    38,586.68x = 1,207,697,539.27
  5. Step 5: Solve for x
    x = 1,207,697,539.27/38,586.68
  6. Step 6: Final answer
    x = 31,298.30

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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.