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Finding the Fourth Proportional to 43,668.52, 65,506.90 and 12,077.30

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Solution

The fourth proportional to 43,668.52, 65,506.90 and 12,077.30 is: 18,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,668.52 : 65,506.90 = 12,077.30 : x
  2. Step 2: Convert to fraction form
    43,668.52/65,506.90 = 12,077.30/x
  3. Step 3: Cross multiply
    43,668.52x = 65,506.90 × 12,077.30
  4. Step 4: Simplify right side
    43,668.52x = 791,146,483.37
  5. Step 5: Solve for x
    x = 791,146,483.37/43,668.52
  6. Step 6: Final answer
    x = 18,117.09

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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.