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Finding the Fourth Proportional to 97,858.80, 146,806.56 and 33,813.72

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Solution

The fourth proportional to 97,858.80, 146,806.56 and 33,813.72 is: 50,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.80 : 146,806.56 = 33,813.72 : x
  2. Step 2: Convert to fraction form
    97,858.80/146,806.56 = 33,813.72/x
  3. Step 3: Cross multiply
    97,858.80x = 146,806.56 × 33,813.72
  4. Step 4: Simplify right side
    97,858.80x = 4,964,075,914.00
  5. Step 5: Solve for x
    x = 4,964,075,914.00/97,858.80
  6. Step 6: Final answer
    x = 50,726.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.