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Finding the Fourth Proportional to 35,465.37, 48,938.34 and 19,546.75

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Solution

The fourth proportional to 35,465.37, 48,938.34 and 19,546.75 is: 26,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465.37 : 48,938.34 = 19,546.75 : x
  2. Step 2: Convert to fraction form
    35,465.37/48,938.34 = 19,546.75/x
  3. Step 3: Cross multiply
    35,465.37x = 48,938.34 × 19,546.75
  4. Step 4: Simplify right side
    35,465.37x = 956,585,497.40
  5. Step 5: Solve for x
    x = 956,585,497.40/35,465.37
  6. Step 6: Final answer
    x = 26,972.38

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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.