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Finding the Fourth Proportional to 38,444, 53,052.72 and 20,780

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Solution

The fourth proportional to 38,444, 53,052.72 and 20,780 is: 28,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444 : 53,052.72 = 20,780 : x
  2. Step 2: Convert to fraction form
    38,444/53,052.72 = 20,780/x
  3. Step 3: Cross multiply
    38,444x = 53,052.72 × 20,780
  4. Step 4: Simplify right side
    38,444x = 1,102,435,521.60
  5. Step 5: Solve for x
    x = 1,102,435,521.60/38,444
  6. Step 6: Final answer
    x = 28,676.40

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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.