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Finding the Fourth Proportional to 30,086.70, 45,146.45 and 13,446.06

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Solution

The fourth proportional to 30,086.70, 45,146.45 and 13,446.06 is: 20,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086.70 : 45,146.45 = 13,446.06 : x
  2. Step 2: Convert to fraction form
    30,086.70/45,146.45 = 13,446.06/x
  3. Step 3: Cross multiply
    30,086.70x = 45,146.45 × 13,446.06
  4. Step 4: Simplify right side
    30,086.70x = 607,041,875.49
  5. Step 5: Solve for x
    x = 607,041,875.49/30,086.70
  6. Step 6: Final answer
    x = 20,176.42

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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.