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Finding the Fourth Proportional to 70,898.69, 97,842.25 and 39,069.64

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Solution

The fourth proportional to 70,898.69, 97,842.25 and 39,069.64 is: 53,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898.69 : 97,842.25 = 39,069.64 : x
  2. Step 2: Convert to fraction form
    70,898.69/97,842.25 = 39,069.64/x
  3. Step 3: Cross multiply
    70,898.69x = 97,842.25 × 39,069.64
  4. Step 4: Simplify right side
    70,898.69x = 3,822,661,484.29
  5. Step 5: Solve for x
    x = 3,822,661,484.29/70,898.69
  6. Step 6: Final answer
    x = 53,917.24

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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.