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Finding the Fourth Proportional to 53,698.33, 74,069.66 and 32,992.76

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Solution

The fourth proportional to 53,698.33, 74,069.66 and 32,992.76 is: 45,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.33 : 74,069.66 = 32,992.76 : x
  2. Step 2: Convert to fraction form
    53,698.33/74,069.66 = 32,992.76/x
  3. Step 3: Cross multiply
    53,698.33x = 74,069.66 × 32,992.76
  4. Step 4: Simplify right side
    53,698.33x = 2,443,762,181.09
  5. Step 5: Solve for x
    x = 2,443,762,181.09/53,698.33
  6. Step 6: Final answer
    x = 45,509.09

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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.