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Finding the Fourth Proportional to 29,810.36, 44,710.68 and 9,029

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Solution

The fourth proportional to 29,810.36, 44,710.68 and 9,029 is: 13,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.36 : 44,710.68 = 9,029 : x
  2. Step 2: Convert to fraction form
    29,810.36/44,710.68 = 9,029/x
  3. Step 3: Cross multiply
    29,810.36x = 44,710.68 × 9,029
  4. Step 4: Simplify right side
    29,810.36x = 403,692,729.72
  5. Step 5: Solve for x
    x = 403,692,729.72/29,810.36
  6. Step 6: Final answer
    x = 13,542.03

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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.