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Finding the Fourth Proportional to 48,741.84, 73,066.32 and 19,149.84

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Solution

The fourth proportional to 48,741.84, 73,066.32 and 19,149.84 is: 28,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,741.84 : 73,066.32 = 19,149.84 : x
  2. Step 2: Convert to fraction form
    48,741.84/73,066.32 = 19,149.84/x
  3. Step 3: Cross multiply
    48,741.84x = 73,066.32 × 19,149.84
  4. Step 4: Simplify right side
    48,741.84x = 1,399,208,337.39
  5. Step 5: Solve for x
    x = 1,399,208,337.39/48,741.84
  6. Step 6: Final answer
    x = 28,706.51

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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.