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Finding the Fourth Proportional to 54,185.19, 74,778.81 and 30,312

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Solution

The fourth proportional to 54,185.19, 74,778.81 and 30,312 is: 41,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,185.19 : 74,778.81 = 30,312 : x
  2. Step 2: Convert to fraction form
    54,185.19/74,778.81 = 30,312/x
  3. Step 3: Cross multiply
    54,185.19x = 74,778.81 × 30,312
  4. Step 4: Simplify right side
    54,185.19x = 2,266,695,288.72
  5. Step 5: Solve for x
    x = 2,266,695,288.72/54,185.19
  6. Step 6: Final answer
    x = 41,832.38

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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.