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Finding the Fourth Proportional to 29,527.30, 44,342.15 and 20,823.30

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Solution

The fourth proportional to 29,527.30, 44,342.15 and 20,823.30 is: 31,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,527.30 : 44,342.15 = 20,823.30 : x
  2. Step 2: Convert to fraction form
    29,527.30/44,342.15 = 20,823.30/x
  3. Step 3: Cross multiply
    29,527.30x = 44,342.15 × 20,823.30
  4. Step 4: Simplify right side
    29,527.30x = 923,349,892.10
  5. Step 5: Solve for x
    x = 923,349,892.10/29,527.30
  6. Step 6: Final answer
    x = 31,271.06

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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.