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Finding the Fourth Proportional to 51,469.74, 77,203.80 and 16,409.16

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Solution

The fourth proportional to 51,469.74, 77,203.80 and 16,409.16 is: 24,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.74 : 77,203.80 = 16,409.16 : x
  2. Step 2: Convert to fraction form
    51,469.74/77,203.80 = 16,409.16/x
  3. Step 3: Cross multiply
    51,469.74x = 77,203.80 × 16,409.16
  4. Step 4: Simplify right side
    51,469.74x = 1,266,849,506.81
  5. Step 5: Solve for x
    x = 1,266,849,506.81/51,469.74
  6. Step 6: Final answer
    x = 24,613.48

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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.