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Finding the Fourth Proportional to 52,984, 79,476.18 and 16,048

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Solution

The fourth proportional to 52,984, 79,476.18 and 16,048 is: 24,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984 : 79,476.18 = 16,048 : x
  2. Step 2: Convert to fraction form
    52,984/79,476.18 = 16,048/x
  3. Step 3: Cross multiply
    52,984x = 79,476.18 × 16,048
  4. Step 4: Simplify right side
    52,984x = 1,275,433,736.64
  5. Step 5: Solve for x
    x = 1,275,433,736.64/52,984
  6. Step 6: Final answer
    x = 24,072.05

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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.