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Finding the Fourth Proportional to 54,386.56, 75,054.74 and 30,514.98

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Solution

The fourth proportional to 54,386.56, 75,054.74 and 30,514.98 is: 42,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,386.56 : 75,054.74 = 30,514.98 : x
  2. Step 2: Convert to fraction form
    54,386.56/75,054.74 = 30,514.98/x
  3. Step 3: Cross multiply
    54,386.56x = 75,054.74 × 30,514.98
  4. Step 4: Simplify right side
    54,386.56x = 2,290,293,890.01
  5. Step 5: Solve for x
    x = 2,290,293,890.01/54,386.56
  6. Step 6: Final answer
    x = 42,111.39

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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.