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Finding the Fourth Proportional to 51,841.35, 77,762.03 and 16,806.15

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Solution

The fourth proportional to 51,841.35, 77,762.03 and 16,806.15 is: 25,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841.35 : 77,762.03 = 16,806.15 : x
  2. Step 2: Convert to fraction form
    51,841.35/77,762.03 = 16,806.15/x
  3. Step 3: Cross multiply
    51,841.35x = 77,762.03 × 16,806.15
  4. Step 4: Simplify right side
    51,841.35x = 1,306,880,256.45
  5. Step 5: Solve for x
    x = 1,306,880,256.45/51,841.35
  6. Step 6: Final answer
    x = 25,209.23

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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.