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Finding the Fourth Proportional to 84,943.86, 117,223.86 and 46,705.08

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Solution

The fourth proportional to 84,943.86, 117,223.86 and 46,705.08 is: 64,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,943.86 : 117,223.86 = 46,705.08 : x
  2. Step 2: Convert to fraction form
    84,943.86/117,223.86 = 46,705.08/x
  3. Step 3: Cross multiply
    84,943.86x = 117,223.86 × 46,705.08
  4. Step 4: Simplify right side
    84,943.86x = 5,474,949,759.21
  5. Step 5: Solve for x
    x = 5,474,949,759.21/84,943.86
  6. Step 6: Final answer
    x = 64,453.74

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Why These Related Problems?

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