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Finding the Fourth Proportional to 30,705.84, 42,342.36 and 28,919.60

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Solution

The fourth proportional to 30,705.84, 42,342.36 and 28,919.60 is: 39,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.84 : 42,342.36 = 28,919.60 : x
  2. Step 2: Convert to fraction form
    30,705.84/42,342.36 = 28,919.60/x
  3. Step 3: Cross multiply
    30,705.84x = 42,342.36 × 28,919.60
  4. Step 4: Simplify right side
    30,705.84x = 1,224,524,114.26
  5. Step 5: Solve for x
    x = 1,224,524,114.26/30,705.84
  6. Step 6: Final answer
    x = 39,879.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.