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Finding the Fourth Proportional to 31,303.94, 46,950.91 and 11,578.01

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Solution

The fourth proportional to 31,303.94, 46,950.91 and 11,578.01 is: 17,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.94 : 46,950.91 = 11,578.01 : x
  2. Step 2: Convert to fraction form
    31,303.94/46,950.91 = 11,578.01/x
  3. Step 3: Cross multiply
    31,303.94x = 46,950.91 × 11,578.01
  4. Step 4: Simplify right side
    31,303.94x = 543,597,841.79
  5. Step 5: Solve for x
    x = 543,597,841.79/31,303.94
  6. Step 6: Final answer
    x = 17,365.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.