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Finding the Fourth Proportional to 36,747, 55,077.48 and 15,681.06

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Solution

The fourth proportional to 36,747, 55,077.48 and 15,681.06 is: 23,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,747 : 55,077.48 = 15,681.06 : x
  2. Step 2: Convert to fraction form
    36,747/55,077.48 = 15,681.06/x
  3. Step 3: Cross multiply
    36,747x = 55,077.48 × 15,681.06
  4. Step 4: Simplify right side
    36,747x = 863,673,268.53
  5. Step 5: Solve for x
    x = 863,673,268.53/36,747
  6. Step 6: Final answer
    x = 23,503.23

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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.