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Finding the Fourth Proportional to 36,924, 55,409.04 and 15,036

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Solution

The fourth proportional to 36,924, 55,409.04 and 15,036 is: 22,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,924 : 55,409.04 = 15,036 : x
  2. Step 2: Convert to fraction form
    36,924/55,409.04 = 15,036/x
  3. Step 3: Cross multiply
    36,924x = 55,409.04 × 15,036
  4. Step 4: Simplify right side
    36,924x = 833,130,325.44
  5. Step 5: Solve for x
    x = 833,130,325.44/36,924
  6. Step 6: Final answer
    x = 22,563.38

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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.