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Finding the Fourth Proportional to 71,698.38, 107,322.93 and 46,364.28

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Solution

The fourth proportional to 71,698.38, 107,322.93 and 46,364.28 is: 69,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.38 : 107,322.93 = 46,364.28 : x
  2. Step 2: Convert to fraction form
    71,698.38/107,322.93 = 46,364.28/x
  3. Step 3: Cross multiply
    71,698.38x = 107,322.93 × 46,364.28
  4. Step 4: Simplify right side
    71,698.38x = 4,975,950,376.94
  5. Step 5: Solve for x
    x = 4,975,950,376.94/71,698.38
  6. Step 6: Final answer
    x = 69,401.15

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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.