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Finding the Fourth Proportional to 52,389, 78,598.62 and 15,453

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Solution

The fourth proportional to 52,389, 78,598.62 and 15,453 is: 23,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389 : 78,598.62 = 15,453 : x
  2. Step 2: Convert to fraction form
    52,389/78,598.62 = 15,453/x
  3. Step 3: Cross multiply
    52,389x = 78,598.62 × 15,453
  4. Step 4: Simplify right side
    52,389x = 1,214,584,474.86
  5. Step 5: Solve for x
    x = 1,214,584,474.86/52,389
  6. Step 6: Final answer
    x = 23,183.96

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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.