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Finding the Fourth Proportional to 54,172.92, 74,762.54 and 30,307.28

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Solution

The fourth proportional to 54,172.92, 74,762.54 and 30,307.28 is: 41,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,172.92 : 74,762.54 = 30,307.28 : x
  2. Step 2: Convert to fraction form
    54,172.92/74,762.54 = 30,307.28/x
  3. Step 3: Cross multiply
    54,172.92x = 74,762.54 × 30,307.28
  4. Step 4: Simplify right side
    54,172.92x = 2,265,848,707.94
  5. Step 5: Solve for x
    x = 2,265,848,707.94/54,172.92
  6. Step 6: Final answer
    x = 41,826.22

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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.