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Finding the Fourth Proportional to 103,313.71, 154,965.06 and 33,187.54

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Solution

The fourth proportional to 103,313.71, 154,965.06 and 33,187.54 is: 49,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,313.71 : 154,965.06 = 33,187.54 : x
  2. Step 2: Convert to fraction form
    103,313.71/154,965.06 = 33,187.54/x
  3. Step 3: Cross multiply
    103,313.71x = 154,965.06 × 33,187.54
  4. Step 4: Simplify right side
    103,313.71x = 5,142,909,127.35
  5. Step 5: Solve for x
    x = 5,142,909,127.35/103,313.71
  6. Step 6: Final answer
    x = 49,779.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.