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Finding the Fourth Proportional to 84,009.42, 115,932.94 and 46,283.67

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Solution

The fourth proportional to 84,009.42, 115,932.94 and 46,283.67 is: 63,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009.42 : 115,932.94 = 46,283.67 : x
  2. Step 2: Convert to fraction form
    84,009.42/115,932.94 = 46,283.67/x
  3. Step 3: Cross multiply
    84,009.42x = 115,932.94 × 46,283.67
  4. Step 4: Simplify right side
    84,009.42x = 5,365,801,821.38
  5. Step 5: Solve for x
    x = 5,365,801,821.38/84,009.42
  6. Step 6: Final answer
    x = 63,871.43

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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.