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Finding the Fourth Proportional to 97,852.80, 146,741.94 and 41,657.44

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Solution

The fourth proportional to 97,852.80, 146,741.94 and 41,657.44 is: 62,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.80 : 146,741.94 = 41,657.44 : x
  2. Step 2: Convert to fraction form
    97,852.80/146,741.94 = 41,657.44/x
  3. Step 3: Cross multiply
    97,852.80x = 146,741.94 × 41,657.44
  4. Step 4: Simplify right side
    97,852.80x = 6,112,893,561.03
  5. Step 5: Solve for x
    x = 6,112,893,561.03/97,852.80
  6. Step 6: Final answer
    x = 62,470.30

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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.