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Finding the Fourth Proportional to 82,203.42, 113,440.86 and 44,477.68

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Solution

The fourth proportional to 82,203.42, 113,440.86 and 44,477.68 is: 61,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.42 : 113,440.86 = 44,477.68 : x
  2. Step 2: Convert to fraction form
    82,203.42/113,440.86 = 44,477.68/x
  3. Step 3: Cross multiply
    82,203.42x = 113,440.86 × 44,477.68
  4. Step 4: Simplify right side
    82,203.42x = 5,045,586,270.00
  5. Step 5: Solve for x
    x = 5,045,586,270.00/82,203.42
  6. Step 6: Final answer
    x = 61,379.27

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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.