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Finding the Fourth Proportional to 54,070, 74,615.79 and 30,197.02

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Solution

The fourth proportional to 54,070, 74,615.79 and 30,197.02 is: 41,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,070 : 74,615.79 = 30,197.02 : x
  2. Step 2: Convert to fraction form
    54,070/74,615.79 = 30,197.02/x
  3. Step 3: Cross multiply
    54,070x = 74,615.79 × 30,197.02
  4. Step 4: Simplify right side
    54,070x = 2,253,174,502.95
  5. Step 5: Solve for x
    x = 2,253,174,502.95/54,070
  6. Step 6: Final answer
    x = 41,671.44

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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.