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Finding the Fourth Proportional to 49,532, 68,352.34 and 28,310

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Solution

The fourth proportional to 49,532, 68,352.34 and 28,310 is: 39,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,532 : 68,352.34 = 28,310 : x
  2. Step 2: Convert to fraction form
    49,532/68,352.34 = 28,310/x
  3. Step 3: Cross multiply
    49,532x = 68,352.34 × 28,310
  4. Step 4: Simplify right side
    49,532x = 1,935,054,745.40
  5. Step 5: Solve for x
    x = 1,935,054,745.40/49,532
  6. Step 6: Final answer
    x = 39,066.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.