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Finding the Fourth Proportional to 52,626, 78,970.11 and 19,369.41

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Solution

The fourth proportional to 52,626, 78,970.11 and 19,369.41 is: 29,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,626 : 78,970.11 = 19,369.41 : x
  2. Step 2: Convert to fraction form
    52,626/78,970.11 = 19,369.41/x
  3. Step 3: Cross multiply
    52,626x = 78,970.11 × 19,369.41
  4. Step 4: Simplify right side
    52,626x = 1,529,604,438.34
  5. Step 5: Solve for x
    x = 1,529,604,438.34/52,626
  6. Step 6: Final answer
    x = 29,065.57

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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.