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Finding the Fourth Proportional to 59,856, 89,784 and 16,080

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Solution

The fourth proportional to 59,856, 89,784 and 16,080 is: 24,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,856 : 89,784 = 16,080 : x
  2. Step 2: Convert to fraction form
    59,856/89,784 = 16,080/x
  3. Step 3: Cross multiply
    59,856x = 89,784 × 16,080
  4. Step 4: Simplify right side
    59,856x = 1,443,726,720
  5. Step 5: Solve for x
    x = 1,443,726,720/59,856
  6. Step 6: Final answer
    x = 24,120

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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.