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Finding the Fourth Proportional to 54,898.34, 75,730.46 and 33,394.67

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Solution

The fourth proportional to 54,898.34, 75,730.46 and 33,394.67 is: 46,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898.34 : 75,730.46 = 33,394.67 : x
  2. Step 2: Convert to fraction form
    54,898.34/75,730.46 = 33,394.67/x
  3. Step 3: Cross multiply
    54,898.34x = 75,730.46 × 33,394.67
  4. Step 4: Simplify right side
    54,898.34x = 2,528,993,175.02
  5. Step 5: Solve for x
    x = 2,528,993,175.02/54,898.34
  6. Step 6: Final answer
    x = 46,066.84

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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.