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Finding the Fourth Proportional to 51,466.60, 77,192.70 and 16,409.80

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Solution

The fourth proportional to 51,466.60, 77,192.70 and 16,409.80 is: 24,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,466.60 : 77,192.70 = 16,409.80 : x
  2. Step 2: Convert to fraction form
    51,466.60/77,192.70 = 16,409.80/x
  3. Step 3: Cross multiply
    51,466.60x = 77,192.70 × 16,409.80
  4. Step 4: Simplify right side
    51,466.60x = 1,266,716,768.46
  5. Step 5: Solve for x
    x = 1,266,716,768.46/51,466.60
  6. Step 6: Final answer
    x = 24,612.40

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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.