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Finding the Fourth Proportional to 47,556, 65,627.15 and 27,412.77

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Solution

The fourth proportional to 47,556, 65,627.15 and 27,412.77 is: 37,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,556 : 65,627.15 = 27,412.77 : x
  2. Step 2: Convert to fraction form
    47,556/65,627.15 = 27,412.77/x
  3. Step 3: Cross multiply
    47,556x = 65,627.15 × 27,412.77
  4. Step 4: Simplify right side
    47,556x = 1,799,021,968.71
  5. Step 5: Solve for x
    x = 1,799,021,968.71/47,556
  6. Step 6: Final answer
    x = 37,829.55

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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.