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Finding the Fourth Proportional to 70,700, 106,050 and 21,452

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Solution

The fourth proportional to 70,700, 106,050 and 21,452 is: 32,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700 : 106,050 = 21,452 : x
  2. Step 2: Convert to fraction form
    70,700/106,050 = 21,452/x
  3. Step 3: Cross multiply
    70,700x = 106,050 × 21,452
  4. Step 4: Simplify right side
    70,700x = 2,274,984,600
  5. Step 5: Solve for x
    x = 2,274,984,600/70,700
  6. Step 6: Final answer
    x = 32,178

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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.