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Finding the Fourth Proportional to 101,461, 152,191.98 and 35,797

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Solution

The fourth proportional to 101,461, 152,191.98 and 35,797 is: 53,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,461 : 152,191.98 = 35,797 : x
  2. Step 2: Convert to fraction form
    101,461/152,191.98 = 35,797/x
  3. Step 3: Cross multiply
    101,461x = 152,191.98 × 35,797
  4. Step 4: Simplify right side
    101,461x = 5,448,016,308.06
  5. Step 5: Solve for x
    x = 5,448,016,308.06/101,461
  6. Step 6: Final answer
    x = 53,695.67

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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.