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Finding the Fourth Proportional to 47,407.15, 65,422.09 and 25,897.19

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Solution

The fourth proportional to 47,407.15, 65,422.09 and 25,897.19 is: 35,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.15 : 65,422.09 = 25,897.19 : x
  2. Step 2: Convert to fraction form
    47,407.15/65,422.09 = 25,897.19/x
  3. Step 3: Cross multiply
    47,407.15x = 65,422.09 × 25,897.19
  4. Step 4: Simplify right side
    47,407.15x = 1,694,248,294.93
  5. Step 5: Solve for x
    x = 1,694,248,294.93/47,407.15
  6. Step 6: Final answer
    x = 35,738.24

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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.