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Finding the Fourth Proportional to 36,861, 55,291.50 and 12,237

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Solution

The fourth proportional to 36,861, 55,291.50 and 12,237 is: 18,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,861 : 55,291.50 = 12,237 : x
  2. Step 2: Convert to fraction form
    36,861/55,291.50 = 12,237/x
  3. Step 3: Cross multiply
    36,861x = 55,291.50 × 12,237
  4. Step 4: Simplify right side
    36,861x = 676,602,085.50
  5. Step 5: Solve for x
    x = 676,602,085.50/36,861
  6. Step 6: Final answer
    x = 18,355.50

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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.