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Finding the Fourth Proportional to 84,835.44, 117,069.84 and 46,594.80

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Solution

The fourth proportional to 84,835.44, 117,069.84 and 46,594.80 is: 64,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,835.44 : 117,069.84 = 46,594.80 : x
  2. Step 2: Convert to fraction form
    84,835.44/117,069.84 = 46,594.80/x
  3. Step 3: Cross multiply
    84,835.44x = 117,069.84 × 46,594.80
  4. Step 4: Simplify right side
    84,835.44x = 5,454,845,780.83
  5. Step 5: Solve for x
    x = 5,454,845,780.83/84,835.44
  6. Step 6: Final answer
    x = 64,299.14

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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.