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Finding the Fourth Proportional to 78,435.36, 117,643.32 and 28,513.44

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Solution

The fourth proportional to 78,435.36, 117,643.32 and 28,513.44 is: 42,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,435.36 : 117,643.32 = 28,513.44 : x
  2. Step 2: Convert to fraction form
    78,435.36/117,643.32 = 28,513.44/x
  3. Step 3: Cross multiply
    78,435.36x = 117,643.32 × 28,513.44
  4. Step 4: Simplify right side
    78,435.36x = 3,354,415,746.22
  5. Step 5: Solve for x
    x = 3,354,415,746.22/78,435.36
  6. Step 6: Final answer
    x = 42,766.63

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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.