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Finding the Fourth Proportional to 54,113, 74,677.54 and 30,240.68

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Solution

The fourth proportional to 54,113, 74,677.54 and 30,240.68 is: 41,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,113 : 74,677.54 = 30,240.68 : x
  2. Step 2: Convert to fraction form
    54,113/74,677.54 = 30,240.68/x
  3. Step 3: Cross multiply
    54,113x = 74,677.54 × 30,240.68
  4. Step 4: Simplify right side
    54,113x = 2,258,299,590.33
  5. Step 5: Solve for x
    x = 2,258,299,590.33/54,113
  6. Step 6: Final answer
    x = 41,733.03

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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.