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Finding the Fourth Proportional to 29,359.50, 44,030 and 9,633.46

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Solution

The fourth proportional to 29,359.50, 44,030 and 9,633.46 is: 14,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,359.50 : 44,030 = 9,633.46 : x
  2. Step 2: Convert to fraction form
    29,359.50/44,030 = 9,633.46/x
  3. Step 3: Cross multiply
    29,359.50x = 44,030 × 9,633.46
  4. Step 4: Simplify right side
    29,359.50x = 424,161,243.80
  5. Step 5: Solve for x
    x = 424,161,243.80/29,359.50
  6. Step 6: Final answer
    x = 14,447.15

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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.