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Finding the Fourth Proportional to 35,974.16, 53,935.32 and 22,094

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Solution

The fourth proportional to 35,974.16, 53,935.32 and 22,094 is: 33,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974.16 : 53,935.32 = 22,094 : x
  2. Step 2: Convert to fraction form
    35,974.16/53,935.32 = 22,094/x
  3. Step 3: Cross multiply
    35,974.16x = 53,935.32 × 22,094
  4. Step 4: Simplify right side
    35,974.16x = 1,191,646,960.08
  5. Step 5: Solve for x
    x = 1,191,646,960.08/35,974.16
  6. Step 6: Final answer
    x = 33,125.08

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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.