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Finding the Fourth Proportional to 54,166.56, 74,747.64 and 31,506.20

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Solution

The fourth proportional to 54,166.56, 74,747.64 and 31,506.20 is: 43,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,166.56 : 74,747.64 = 31,506.20 : x
  2. Step 2: Convert to fraction form
    54,166.56/74,747.64 = 31,506.20/x
  3. Step 3: Cross multiply
    54,166.56x = 74,747.64 × 31,506.20
  4. Step 4: Simplify right side
    54,166.56x = 2,355,014,120.08
  5. Step 5: Solve for x
    x = 2,355,014,120.08/54,166.56
  6. Step 6: Final answer
    x = 43,477.27

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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.