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Finding the Fourth Proportional to 36,114.80, 49,838.49 and 20,199.51

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Solution

The fourth proportional to 36,114.80, 49,838.49 and 20,199.51 is: 27,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.80 : 49,838.49 = 20,199.51 : x
  2. Step 2: Convert to fraction form
    36,114.80/49,838.49 = 20,199.51/x
  3. Step 3: Cross multiply
    36,114.80x = 49,838.49 × 20,199.51
  4. Step 4: Simplify right side
    36,114.80x = 1,006,713,077.14
  5. Step 5: Solve for x
    x = 1,006,713,077.14/36,114.80
  6. Step 6: Final answer
    x = 27,875.36

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1.5x scale

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.