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Finding the Fourth Proportional to 12,029.50, 18,045.95 and 3,710.19

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Solution

The fourth proportional to 12,029.50, 18,045.95 and 3,710.19 is: 5,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.50 : 18,045.95 = 3,710.19 : x
  2. Step 2: Convert to fraction form
    12,029.50/18,045.95 = 3,710.19/x
  3. Step 3: Cross multiply
    12,029.50x = 18,045.95 × 3,710.19
  4. Step 4: Simplify right side
    12,029.50x = 66,953,884.68
  5. Step 5: Solve for x
    x = 66,953,884.68/12,029.50
  6. Step 6: Final answer
    x = 5,565.81

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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.