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Finding the Fourth Proportional to 36,958, 55,437.48 and 12,334

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Solution

The fourth proportional to 36,958, 55,437.48 and 12,334 is: 18,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,958 : 55,437.48 = 12,334 : x
  2. Step 2: Convert to fraction form
    36,958/55,437.48 = 12,334/x
  3. Step 3: Cross multiply
    36,958x = 55,437.48 × 12,334
  4. Step 4: Simplify right side
    36,958x = 683,765,878.32
  5. Step 5: Solve for x
    x = 683,765,878.32/36,958
  6. Step 6: Final answer
    x = 18,501.16

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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.