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Finding the Fourth Proportional to 51,894.40, 77,841.60 and 25,650.40

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Solution

The fourth proportional to 51,894.40, 77,841.60 and 25,650.40 is: 38,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.40 : 77,841.60 = 25,650.40 : x
  2. Step 2: Convert to fraction form
    51,894.40/77,841.60 = 25,650.40/x
  3. Step 3: Cross multiply
    51,894.40x = 77,841.60 × 25,650.40
  4. Step 4: Simplify right side
    51,894.40x = 1,996,668,176.64
  5. Step 5: Solve for x
    x = 1,996,668,176.64/51,894.40
  6. Step 6: Final answer
    x = 38,475.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.