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Finding the Fourth Proportional to 76,858.89, 106,047.21 and 46,643.54

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Solution

The fourth proportional to 76,858.89, 106,047.21 and 46,643.54 is: 64,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858.89 : 106,047.21 = 46,643.54 : x
  2. Step 2: Convert to fraction form
    76,858.89/106,047.21 = 46,643.54/x
  3. Step 3: Cross multiply
    76,858.89x = 106,047.21 × 46,643.54
  4. Step 4: Simplify right side
    76,858.89x = 4,946,416,751.29
  5. Step 5: Solve for x
    x = 4,946,416,751.29/76,858.89
  6. Step 6: Final answer
    x = 64,357.12

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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.