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Finding the Fourth Proportional to 29,362.76, 44,049.64 and 9,642.43

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Solution

The fourth proportional to 29,362.76, 44,049.64 and 9,642.43 is: 14,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,362.76 : 44,049.64 = 9,642.43 : x
  2. Step 2: Convert to fraction form
    29,362.76/44,049.64 = 9,642.43/x
  3. Step 3: Cross multiply
    29,362.76x = 44,049.64 × 9,642.43
  4. Step 4: Simplify right side
    29,362.76x = 424,745,570.23
  5. Step 5: Solve for x
    x = 424,745,570.23/29,362.76
  6. Step 6: Final answer
    x = 14,465.45

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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.