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Finding the Fourth Proportional to 73,409.64, 110,122.54 and 23,478

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Solution

The fourth proportional to 73,409.64, 110,122.54 and 23,478 is: 35,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,409.64 : 110,122.54 = 23,478 : x
  2. Step 2: Convert to fraction form
    73,409.64/110,122.54 = 23,478/x
  3. Step 3: Cross multiply
    73,409.64x = 110,122.54 × 23,478
  4. Step 4: Simplify right side
    73,409.64x = 2,585,456,994.12
  5. Step 5: Solve for x
    x = 2,585,456,994.12/73,409.64
  6. Step 6: Final answer
    x = 35,219.58

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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.