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Finding the Fourth Proportional to 101,738.88, 152,608.32 and 46,296

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Solution

The fourth proportional to 101,738.88, 152,608.32 and 46,296 is: 69,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.88 : 152,608.32 = 46,296 : x
  2. Step 2: Convert to fraction form
    101,738.88/152,608.32 = 46,296/x
  3. Step 3: Cross multiply
    101,738.88x = 152,608.32 × 46,296
  4. Step 4: Simplify right side
    101,738.88x = 7,065,154,782.72
  5. Step 5: Solve for x
    x = 7,065,154,782.72/101,738.88
  6. Step 6: Final answer
    x = 69,444

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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.