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Finding the Fourth Proportional to 165,774.47, 248,664.09 and 47,445.89

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Solution

The fourth proportional to 165,774.47, 248,664.09 and 47,445.89 is: 71,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,774.47 : 248,664.09 = 47,445.89 : x
  2. Step 2: Convert to fraction form
    165,774.47/248,664.09 = 47,445.89/x
  3. Step 3: Cross multiply
    165,774.47x = 248,664.09 × 47,445.89
  4. Step 4: Simplify right side
    165,774.47x = 11,798,089,061.09
  5. Step 5: Solve for x
    x = 11,798,089,061.09/165,774.47
  6. Step 6: Final answer
    x = 71,169.52

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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.