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Finding the Fourth Proportional to 165,670.84, 248,514.42 and 47,359.48

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Solution

The fourth proportional to 165,670.84, 248,514.42 and 47,359.48 is: 71,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,670.84 : 248,514.42 = 47,359.48 : x
  2. Step 2: Convert to fraction form
    165,670.84/248,514.42 = 47,359.48/x
  3. Step 3: Cross multiply
    165,670.84x = 248,514.42 × 47,359.48
  4. Step 4: Simplify right side
    165,670.84x = 11,769,513,703.70
  5. Step 5: Solve for x
    x = 11,769,513,703.70/165,670.84
  6. Step 6: Final answer
    x = 71,041.55

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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.