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Finding the Fourth Proportional to 35,973.62, 49,661.22 and 27,889.40

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Solution

The fourth proportional to 35,973.62, 49,661.22 and 27,889.40 is: 38,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973.62 : 49,661.22 = 27,889.40 : x
  2. Step 2: Convert to fraction form
    35,973.62/49,661.22 = 27,889.40/x
  3. Step 3: Cross multiply
    35,973.62x = 49,661.22 × 27,889.40
  4. Step 4: Simplify right side
    35,973.62x = 1,385,021,629.07
  5. Step 5: Solve for x
    x = 1,385,021,629.07/35,973.62
  6. Step 6: Final answer
    x = 38,501.04

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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.