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Finding the Fourth Proportional to 31,575.84, 47,303 and 19,734.24

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Solution

The fourth proportional to 31,575.84, 47,303 and 19,734.24 is: 29,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575.84 : 47,303 = 19,734.24 : x
  2. Step 2: Convert to fraction form
    31,575.84/47,303 = 19,734.24/x
  3. Step 3: Cross multiply
    31,575.84x = 47,303 × 19,734.24
  4. Step 4: Simplify right side
    31,575.84x = 933,488,754.72
  5. Step 5: Solve for x
    x = 933,488,754.72/31,575.84
  6. Step 6: Final answer
    x = 29,563.39

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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.