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Finding the Fourth Proportional to 52,878.71, 72,971.93 and 30,217.44

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Solution

The fourth proportional to 52,878.71, 72,971.93 and 30,217.44 is: 41,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.71 : 72,971.93 = 30,217.44 : x
  2. Step 2: Convert to fraction form
    52,878.71/72,971.93 = 30,217.44/x
  3. Step 3: Cross multiply
    52,878.71x = 72,971.93 × 30,217.44
  4. Step 4: Simplify right side
    52,878.71x = 2,205,024,765.37
  5. Step 5: Solve for x
    x = 2,205,024,765.37/52,878.71
  6. Step 6: Final answer
    x = 41,699.67

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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.