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Finding the Fourth Proportional to 28,476, 42,676.47 and 24,760.53

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Solution

The fourth proportional to 28,476, 42,676.47 and 24,760.53 is: 37,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476 : 42,676.47 = 24,760.53 : x
  2. Step 2: Convert to fraction form
    28,476/42,676.47 = 24,760.53/x
  3. Step 3: Cross multiply
    28,476x = 42,676.47 × 24,760.53
  4. Step 4: Simplify right side
    28,476x = 1,056,692,015.73
  5. Step 5: Solve for x
    x = 1,056,692,015.73/28,476
  6. Step 6: Final answer
    x = 37,108.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.