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Finding the Fourth Proportional to 58,199, 87,298.50 and 16,646

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Solution

The fourth proportional to 58,199, 87,298.50 and 16,646 is: 24,969

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,199 : 87,298.50 = 16,646 : x
  2. Step 2: Convert to fraction form
    58,199/87,298.50 = 16,646/x
  3. Step 3: Cross multiply
    58,199x = 87,298.50 × 16,646
  4. Step 4: Simplify right side
    58,199x = 1,453,170,831
  5. Step 5: Solve for x
    x = 1,453,170,831/58,199
  6. Step 6: Final answer
    x = 24,969

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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.