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Finding the Fourth Proportional to 83,873, 115,746.54 and 46,147.32

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Solution

The fourth proportional to 83,873, 115,746.54 and 46,147.32 is: 63,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873 : 115,746.54 = 46,147.32 : x
  2. Step 2: Convert to fraction form
    83,873/115,746.54 = 46,147.32/x
  3. Step 3: Cross multiply
    83,873x = 115,746.54 × 46,147.32
  4. Step 4: Simplify right side
    83,873x = 5,341,392,620.27
  5. Step 5: Solve for x
    x = 5,341,392,620.27/83,873
  6. Step 6: Final answer
    x = 63,684.29

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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.