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Finding the Fourth Proportional to 28,539.40, 42,801.42 and 10,069

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Solution

The fourth proportional to 28,539.40, 42,801.42 and 10,069 is: 15,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,539.40 : 42,801.42 = 10,069 : x
  2. Step 2: Convert to fraction form
    28,539.40/42,801.42 = 10,069/x
  3. Step 3: Cross multiply
    28,539.40x = 42,801.42 × 10,069
  4. Step 4: Simplify right side
    28,539.40x = 430,967,497.98
  5. Step 5: Solve for x
    x = 430,967,497.98/28,539.40
  6. Step 6: Final answer
    x = 15,100.79

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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.