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Finding the Fourth Proportional to 37,547.56, 51,813.30 and 20,780.92

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Solution

The fourth proportional to 37,547.56, 51,813.30 and 20,780.92 is: 28,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547.56 : 51,813.30 = 20,780.92 : x
  2. Step 2: Convert to fraction form
    37,547.56/51,813.30 = 20,780.92/x
  3. Step 3: Cross multiply
    37,547.56x = 51,813.30 × 20,780.92
  4. Step 4: Simplify right side
    37,547.56x = 1,076,728,042.24
  5. Step 5: Solve for x
    x = 1,076,728,042.24/37,547.56
  6. Step 6: Final answer
    x = 28,676.38

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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.