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Finding the Fourth Proportional to 36,701.16, 50,647.65 and 19,934.16

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Solution

The fourth proportional to 36,701.16, 50,647.65 and 19,934.16 is: 27,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701.16 : 50,647.65 = 19,934.16 : x
  2. Step 2: Convert to fraction form
    36,701.16/50,647.65 = 19,934.16/x
  3. Step 3: Cross multiply
    36,701.16x = 50,647.65 × 19,934.16
  4. Step 4: Simplify right side
    36,701.16x = 1,009,618,094.04
  5. Step 5: Solve for x
    x = 1,009,618,094.04/36,701.16
  6. Step 6: Final answer
    x = 27,509.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.