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Finding the Fourth Proportional to 70,409.75, 105,603.57 and 23,024.43

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Solution

The fourth proportional to 70,409.75, 105,603.57 and 23,024.43 is: 34,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.75 : 105,603.57 = 23,024.43 : x
  2. Step 2: Convert to fraction form
    70,409.75/105,603.57 = 23,024.43/x
  3. Step 3: Cross multiply
    70,409.75x = 105,603.57 × 23,024.43
  4. Step 4: Simplify right side
    70,409.75x = 2,431,462,005.22
  5. Step 5: Solve for x
    x = 2,431,462,005.22/70,409.75
  6. Step 6: Final answer
    x = 34,533.03

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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.