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Finding the Fourth Proportional to 70,653.96, 97,504.86 and 38,824

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Solution

The fourth proportional to 70,653.96, 97,504.86 and 38,824 is: 53,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,653.96 : 97,504.86 = 38,824 : x
  2. Step 2: Convert to fraction form
    70,653.96/97,504.86 = 38,824/x
  3. Step 3: Cross multiply
    70,653.96x = 97,504.86 × 38,824
  4. Step 4: Simplify right side
    70,653.96x = 3,785,528,684.64
  5. Step 5: Solve for x
    x = 3,785,528,684.64/70,653.96
  6. Step 6: Final answer
    x = 53,578.44

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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.