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Finding the Fourth Proportional to 70,356.51, 97,092.14 and 38,091.48

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Solution

The fourth proportional to 70,356.51, 97,092.14 and 38,091.48 is: 52,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,356.51 : 97,092.14 = 38,091.48 : x
  2. Step 2: Convert to fraction form
    70,356.51/97,092.14 = 38,091.48/x
  3. Step 3: Cross multiply
    70,356.51x = 97,092.14 × 38,091.48
  4. Step 4: Simplify right side
    70,356.51x = 3,698,383,308.97
  5. Step 5: Solve for x
    x = 3,698,383,308.97/70,356.51
  6. Step 6: Final answer
    x = 52,566.33

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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.