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Finding the Fourth Proportional to 97,852.86, 146,837.61 and 35,528.22

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Solution

The fourth proportional to 97,852.86, 146,837.61 and 35,528.22 is: 53,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.86 : 146,837.61 = 35,528.22 : x
  2. Step 2: Convert to fraction form
    97,852.86/146,837.61 = 35,528.22/x
  3. Step 3: Cross multiply
    97,852.86x = 146,837.61 × 35,528.22
  4. Step 4: Simplify right side
    97,852.86x = 5,216,878,912.35
  5. Step 5: Solve for x
    x = 5,216,878,912.35/97,852.86
  6. Step 6: Final answer
    x = 53,313.50

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