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Finding the Fourth Proportional to 29,501.88, 44,236.42 and 9,769.67

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Solution

The fourth proportional to 29,501.88, 44,236.42 and 9,769.67 is: 14,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,501.88 : 44,236.42 = 9,769.67 : x
  2. Step 2: Convert to fraction form
    29,501.88/44,236.42 = 9,769.67/x
  3. Step 3: Cross multiply
    29,501.88x = 44,236.42 × 9,769.67
  4. Step 4: Simplify right side
    29,501.88x = 432,175,225.38
  5. Step 5: Solve for x
    x = 432,175,225.38/29,501.88
  6. Step 6: Final answer
    x = 14,649.07

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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.