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Finding the Fourth Proportional to 42,515.82, 63,751.86 and 19,129.50

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Solution

The fourth proportional to 42,515.82, 63,751.86 and 19,129.50 is: 28,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,515.82 : 63,751.86 = 19,129.50 : x
  2. Step 2: Convert to fraction form
    42,515.82/63,751.86 = 19,129.50/x
  3. Step 3: Cross multiply
    42,515.82x = 63,751.86 × 19,129.50
  4. Step 4: Simplify right side
    42,515.82x = 1,219,541,205.87
  5. Step 5: Solve for x
    x = 1,219,541,205.87/42,515.82
  6. Step 6: Final answer
    x = 28,684.41

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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.