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Finding the Fourth Proportional to 47,125.76, 65,030.38 and 25,904

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Solution

The fourth proportional to 47,125.76, 65,030.38 and 25,904 is: 35,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,125.76 : 65,030.38 = 25,904 : x
  2. Step 2: Convert to fraction form
    47,125.76/65,030.38 = 25,904/x
  3. Step 3: Cross multiply
    47,125.76x = 65,030.38 × 25,904
  4. Step 4: Simplify right side
    47,125.76x = 1,684,546,963.52
  5. Step 5: Solve for x
    x = 1,684,546,963.52/47,125.76
  6. Step 6: Final answer
    x = 35,745.78

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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.