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Finding the Fourth Proportional to 82,420.10, 113,739.80 and 44,694.34

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Solution

The fourth proportional to 82,420.10, 113,739.80 and 44,694.34 is: 61,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.10 : 113,739.80 = 44,694.34 : x
  2. Step 2: Convert to fraction form
    82,420.10/113,739.80 = 44,694.34/x
  3. Step 3: Cross multiply
    82,420.10x = 113,739.80 × 44,694.34
  4. Step 4: Simplify right side
    82,420.10x = 5,083,525,292.73
  5. Step 5: Solve for x
    x = 5,083,525,292.73/82,420.10
  6. Step 6: Final answer
    x = 61,678.22

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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.