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Finding the Fourth Proportional to 54,271.36, 74,895.94 and 30,397.51

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Solution

The fourth proportional to 54,271.36, 74,895.94 and 30,397.51 is: 41,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,271.36 : 74,895.94 = 30,397.51 : x
  2. Step 2: Convert to fraction form
    54,271.36/74,895.94 = 30,397.51/x
  3. Step 3: Cross multiply
    54,271.36x = 74,895.94 × 30,397.51
  4. Step 4: Simplify right side
    54,271.36x = 2,276,650,085.11
  5. Step 5: Solve for x
    x = 2,276,650,085.11/54,271.36
  6. Step 6: Final answer
    x = 41,949.38

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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.