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Finding the Fourth Proportional to 31,376.16, 47,075.04 and 19,675.68

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Solution

The fourth proportional to 31,376.16, 47,075.04 and 19,675.68 is: 29,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.16 : 47,075.04 = 19,675.68 : x
  2. Step 2: Convert to fraction form
    31,376.16/47,075.04 = 19,675.68/x
  3. Step 3: Cross multiply
    31,376.16x = 47,075.04 × 19,675.68
  4. Step 4: Simplify right side
    31,376.16x = 926,233,423.03
  5. Step 5: Solve for x
    x = 926,233,423.03/31,376.16
  6. Step 6: Final answer
    x = 29,520.29

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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.