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Finding the Fourth Proportional to 29,619.42, 44,428.20 and 9,898.14

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Solution

The fourth proportional to 29,619.42, 44,428.20 and 9,898.14 is: 14,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,619.42 : 44,428.20 = 9,898.14 : x
  2. Step 2: Convert to fraction form
    29,619.42/44,428.20 = 9,898.14/x
  3. Step 3: Cross multiply
    29,619.42x = 44,428.20 × 9,898.14
  4. Step 4: Simplify right side
    29,619.42x = 439,756,543.55
  5. Step 5: Solve for x
    x = 439,756,543.55/29,619.42
  6. Step 6: Final answer
    x = 14,846.90

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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.