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Finding the Fourth Proportional to 47,116.45, 65,020.91 and 25,897.08

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Solution

The fourth proportional to 47,116.45, 65,020.91 and 25,897.08 is: 35,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,116.45 : 65,020.91 = 25,897.08 : x
  2. Step 2: Convert to fraction form
    47,116.45/65,020.91 = 25,897.08/x
  3. Step 3: Cross multiply
    47,116.45x = 65,020.91 × 25,897.08
  4. Step 4: Simplify right side
    47,116.45x = 1,683,851,772.69
  5. Step 5: Solve for x
    x = 1,683,851,772.69/47,116.45
  6. Step 6: Final answer
    x = 35,738.09

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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.