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Finding the Fourth Proportional to 62,078.52, 85,668.80 and 33,784.82

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Solution

The fourth proportional to 62,078.52, 85,668.80 and 33,784.82 is: 46,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,078.52 : 85,668.80 = 33,784.82 : x
  2. Step 2: Convert to fraction form
    62,078.52/85,668.80 = 33,784.82/x
  3. Step 3: Cross multiply
    62,078.52x = 85,668.80 × 33,784.82
  4. Step 4: Simplify right side
    62,078.52x = 2,894,304,390.35
  5. Step 5: Solve for x
    x = 2,894,304,390.35/62,078.52
  6. Step 6: Final answer
    x = 46,623.28

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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.