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Finding the Fourth Proportional to 52,702.20, 78,942.90 and 24,646.20

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Solution

The fourth proportional to 52,702.20, 78,942.90 and 24,646.20 is: 36,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,702.20 : 78,942.90 = 24,646.20 : x
  2. Step 2: Convert to fraction form
    52,702.20/78,942.90 = 24,646.20/x
  3. Step 3: Cross multiply
    52,702.20x = 78,942.90 × 24,646.20
  4. Step 4: Simplify right side
    52,702.20x = 1,945,642,501.98
  5. Step 5: Solve for x
    x = 1,945,642,501.98/52,702.20
  6. Step 6: Final answer
    x = 36,917.67

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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.