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Finding the Fourth Proportional to 70,295.69, 97,007.94 and 38,464.58

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Solution

The fourth proportional to 70,295.69, 97,007.94 and 38,464.58 is: 53,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.69 : 97,007.94 = 38,464.58 : x
  2. Step 2: Convert to fraction form
    70,295.69/97,007.94 = 38,464.58/x
  3. Step 3: Cross multiply
    70,295.69x = 97,007.94 × 38,464.58
  4. Step 4: Simplify right side
    70,295.69x = 3,731,369,183.73
  5. Step 5: Solve for x
    x = 3,731,369,183.73/70,295.69
  6. Step 6: Final answer
    x = 53,081.06

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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.