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Finding the Fourth Proportional to 82,483.97, 113,830.40 and 48,486.22

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Solution

The fourth proportional to 82,483.97, 113,830.40 and 48,486.22 is: 66,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.97 : 113,830.40 = 48,486.22 : x
  2. Step 2: Convert to fraction form
    82,483.97/113,830.40 = 48,486.22/x
  3. Step 3: Cross multiply
    82,483.97x = 113,830.40 × 48,486.22
  4. Step 4: Simplify right side
    82,483.97x = 5,519,205,817.09
  5. Step 5: Solve for x
    x = 5,519,205,817.09/82,483.97
  6. Step 6: Final answer
    x = 66,912.47

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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.