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Finding the Fourth Proportional to 70,594.48, 105,907.56 and 23,846.16

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Solution

The fourth proportional to 70,594.48, 105,907.56 and 23,846.16 is: 35,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,594.48 : 105,907.56 = 23,846.16 : x
  2. Step 2: Convert to fraction form
    70,594.48/105,907.56 = 23,846.16/x
  3. Step 3: Cross multiply
    70,594.48x = 105,907.56 × 23,846.16
  4. Step 4: Simplify right side
    70,594.48x = 2,525,488,620.97
  5. Step 5: Solve for x
    x = 2,525,488,620.97/70,594.48
  6. Step 6: Final answer
    x = 35,774.59

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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.