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Finding the Fourth Proportional to 102,401.01, 153,609.21 and 32,278.50

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Solution

The fourth proportional to 102,401.01, 153,609.21 and 32,278.50 is: 48,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,401.01 : 153,609.21 = 32,278.50 : x
  2. Step 2: Convert to fraction form
    102,401.01/153,609.21 = 32,278.50/x
  3. Step 3: Cross multiply
    102,401.01x = 153,609.21 × 32,278.50
  4. Step 4: Simplify right side
    102,401.01x = 4,958,274,884.99
  5. Step 5: Solve for x
    x = 4,958,274,884.99/102,401.01
  6. Step 6: Final answer
    x = 48,420.18

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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.