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Finding the Fourth Proportional to 47,195.52, 65,119.36 and 27,312

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Solution

The fourth proportional to 47,195.52, 65,119.36 and 27,312 is: 37,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,195.52 : 65,119.36 = 27,312 : x
  2. Step 2: Convert to fraction form
    47,195.52/65,119.36 = 27,312/x
  3. Step 3: Cross multiply
    47,195.52x = 65,119.36 × 27,312
  4. Step 4: Simplify right side
    47,195.52x = 1,778,539,960.32
  5. Step 5: Solve for x
    x = 1,778,539,960.32/47,195.52
  6. Step 6: Final answer
    x = 37,684.51

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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.