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Finding the Fourth Proportional to 70,907.97, 97,853.02 and 38,642.60

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Solution

The fourth proportional to 70,907.97, 97,853.02 and 38,642.60 is: 53,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.97 : 97,853.02 = 38,642.60 : x
  2. Step 2: Convert to fraction form
    70,907.97/97,853.02 = 38,642.60/x
  3. Step 3: Cross multiply
    70,907.97x = 97,853.02 × 38,642.60
  4. Step 4: Simplify right side
    70,907.97x = 3,781,294,983.47
  5. Step 5: Solve for x
    x = 3,781,294,983.47/70,907.97
  6. Step 6: Final answer
    x = 53,326.80

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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.