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Finding the Fourth Proportional to 97,858.40, 146,765.57 and 47,888.28

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Solution

The fourth proportional to 97,858.40, 146,765.57 and 47,888.28 is: 71,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.40 : 146,765.57 = 47,888.28 : x
  2. Step 2: Convert to fraction form
    97,858.40/146,765.57 = 47,888.28/x
  3. Step 3: Cross multiply
    97,858.40x = 146,765.57 × 47,888.28
  4. Step 4: Simplify right side
    97,858.40x = 7,028,350,471.08
  5. Step 5: Solve for x
    x = 7,028,350,471.08/97,858.40
  6. Step 6: Final answer
    x = 71,821.64

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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.