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Finding the Fourth Proportional to 70,577, 105,865.50 and 21,329

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Solution

The fourth proportional to 70,577, 105,865.50 and 21,329 is: 31,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,577 : 105,865.50 = 21,329 : x
  2. Step 2: Convert to fraction form
    70,577/105,865.50 = 21,329/x
  3. Step 3: Cross multiply
    70,577x = 105,865.50 × 21,329
  4. Step 4: Simplify right side
    70,577x = 2,258,005,249.50
  5. Step 5: Solve for x
    x = 2,258,005,249.50/70,577
  6. Step 6: Final answer
    x = 31,993.50

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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.