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Finding the Fourth Proportional to 71,698.88, 107,323.68 and 46,364.78

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Solution

The fourth proportional to 71,698.88, 107,323.68 and 46,364.78 is: 69,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.88 : 107,323.68 = 46,364.78 : x
  2. Step 2: Convert to fraction form
    71,698.88/107,323.68 = 46,364.78/x
  3. Step 3: Cross multiply
    71,698.88x = 107,323.68 × 46,364.78
  4. Step 4: Simplify right side
    71,698.88x = 4,976,038,811.99
  5. Step 5: Solve for x
    x = 4,976,038,811.99/71,698.88
  6. Step 6: Final answer
    x = 69,401.90

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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.