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Finding the Fourth Proportional to 58,099.24, 87,152.12 and 16,543

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Solution

The fourth proportional to 58,099.24, 87,152.12 and 16,543 is: 24,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,099.24 : 87,152.12 = 16,543 : x
  2. Step 2: Convert to fraction form
    58,099.24/87,152.12 = 16,543/x
  3. Step 3: Cross multiply
    58,099.24x = 87,152.12 × 16,543
  4. Step 4: Simplify right side
    58,099.24x = 1,441,757,521.16
  5. Step 5: Solve for x
    x = 1,441,757,521.16/58,099.24
  6. Step 6: Final answer
    x = 24,815.43

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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.