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Finding the Fourth Proportional to 52,288.16, 78,388.16 and 22,683.67

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Solution

The fourth proportional to 52,288.16, 78,388.16 and 22,683.67 is: 34,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288.16 : 78,388.16 = 22,683.67 : x
  2. Step 2: Convert to fraction form
    52,288.16/78,388.16 = 22,683.67/x
  3. Step 3: Cross multiply
    52,288.16x = 78,388.16 × 22,683.67
  4. Step 4: Simplify right side
    52,288.16x = 1,778,130,843.96
  5. Step 5: Solve for x
    x = 1,778,130,843.96/52,288.16
  6. Step 6: Final answer
    x = 34,006.38

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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.