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Finding the Fourth Proportional to 54,768.56, 75,580.56 and 29,618

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Solution

The fourth proportional to 54,768.56, 75,580.56 and 29,618 is: 40,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768.56 : 75,580.56 = 29,618 : x
  2. Step 2: Convert to fraction form
    54,768.56/75,580.56 = 29,618/x
  3. Step 3: Cross multiply
    54,768.56x = 75,580.56 × 29,618
  4. Step 4: Simplify right side
    54,768.56x = 2,238,545,026.08
  5. Step 5: Solve for x
    x = 2,238,545,026.08/54,768.56
  6. Step 6: Final answer
    x = 40,872.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.