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Finding the Fourth Proportional to 29,012, 43,511.90 and 14,206

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Solution

The fourth proportional to 29,012, 43,511.90 and 14,206 is: 21,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,012 : 43,511.90 = 14,206 : x
  2. Step 2: Convert to fraction form
    29,012/43,511.90 = 14,206/x
  3. Step 3: Cross multiply
    29,012x = 43,511.90 × 14,206
  4. Step 4: Simplify right side
    29,012x = 618,130,051.40
  5. Step 5: Solve for x
    x = 618,130,051.40/29,012
  6. Step 6: Final answer
    x = 21,306.01

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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.