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Finding the Fourth Proportional to 31,382.24, 47,075 and 13,852.24

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Solution

The fourth proportional to 31,382.24, 47,075 and 13,852.24 is: 20,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.24 : 47,075 = 13,852.24 : x
  2. Step 2: Convert to fraction form
    31,382.24/47,075 = 13,852.24/x
  3. Step 3: Cross multiply
    31,382.24x = 47,075 × 13,852.24
  4. Step 4: Simplify right side
    31,382.24x = 652,094,198
  5. Step 5: Solve for x
    x = 652,094,198/31,382.24
  6. Step 6: Final answer
    x = 20,779.08

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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.