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Finding the Fourth Proportional to 76,788.16, 105,947.04 and 46,170.16

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Solution

The fourth proportional to 76,788.16, 105,947.04 and 46,170.16 is: 63,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788.16 : 105,947.04 = 46,170.16 : x
  2. Step 2: Convert to fraction form
    76,788.16/105,947.04 = 46,170.16/x
  3. Step 3: Cross multiply
    76,788.16x = 105,947.04 × 46,170.16
  4. Step 4: Simplify right side
    76,788.16x = 4,891,591,788.33
  5. Step 5: Solve for x
    x = 4,891,591,788.33/76,788.16
  6. Step 6: Final answer
    x = 63,702.42

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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.