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Finding the Fourth Proportional to 58,146, 87,219.84 and 16,593

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Solution

The fourth proportional to 58,146, 87,219.84 and 16,593 is: 24,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,146 : 87,219.84 = 16,593 : x
  2. Step 2: Convert to fraction form
    58,146/87,219.84 = 16,593/x
  3. Step 3: Cross multiply
    58,146x = 87,219.84 × 16,593
  4. Step 4: Simplify right side
    58,146x = 1,447,238,805.12
  5. Step 5: Solve for x
    x = 1,447,238,805.12/58,146
  6. Step 6: Final answer
    x = 24,889.74

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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.