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Finding the Fourth Proportional to 48,697.84, 73,057.68 and 15,419.84

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Solution

The fourth proportional to 48,697.84, 73,057.68 and 15,419.84 is: 23,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,697.84 : 73,057.68 = 15,419.84 : x
  2. Step 2: Convert to fraction form
    48,697.84/73,057.68 = 15,419.84/x
  3. Step 3: Cross multiply
    48,697.84x = 73,057.68 × 15,419.84
  4. Step 4: Simplify right side
    48,697.84x = 1,126,537,736.37
  5. Step 5: Solve for x
    x = 1,126,537,736.37/48,697.84
  6. Step 6: Final answer
    x = 23,133.22

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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.