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Finding the Fourth Proportional to 70,347, 105,520.50 and 21,099

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Solution

The fourth proportional to 70,347, 105,520.50 and 21,099 is: 31,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,347 : 105,520.50 = 21,099 : x
  2. Step 2: Convert to fraction form
    70,347/105,520.50 = 21,099/x
  3. Step 3: Cross multiply
    70,347x = 105,520.50 × 21,099
  4. Step 4: Simplify right side
    70,347x = 2,226,377,029.50
  5. Step 5: Solve for x
    x = 2,226,377,029.50/70,347
  6. Step 6: Final answer
    x = 31,648.50

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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.