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Finding the Fourth Proportional to 33,130.56, 45,668.32 and 22,501.44

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Solution

The fourth proportional to 33,130.56, 45,668.32 and 22,501.44 is: 31,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.56 : 45,668.32 = 22,501.44 : x
  2. Step 2: Convert to fraction form
    33,130.56/45,668.32 = 22,501.44/x
  3. Step 3: Cross multiply
    33,130.56x = 45,668.32 × 22,501.44
  4. Step 4: Simplify right side
    33,130.56x = 1,027,602,962.38
  5. Step 5: Solve for x
    x = 1,027,602,962.38/33,130.56
  6. Step 6: Final answer
    x = 31,016.77

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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.