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Finding the Fourth Proportional to 82,778.88, 114,235.56 and 46,968.96

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Solution

The fourth proportional to 82,778.88, 114,235.56 and 46,968.96 is: 64,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.88 : 114,235.56 = 46,968.96 : x
  2. Step 2: Convert to fraction form
    82,778.88/114,235.56 = 46,968.96/x
  3. Step 3: Cross multiply
    82,778.88x = 114,235.56 × 46,968.96
  4. Step 4: Simplify right side
    82,778.88x = 5,365,525,448.22
  5. Step 5: Solve for x
    x = 5,365,525,448.22/82,778.88
  6. Step 6: Final answer
    x = 64,817.57

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1.5x scale

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.