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Finding the Fourth Proportional to 32,122.56, 44,348.58 and 20,964

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Solution

The fourth proportional to 32,122.56, 44,348.58 and 20,964 is: 28,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.56 : 44,348.58 = 20,964 : x
  2. Step 2: Convert to fraction form
    32,122.56/44,348.58 = 20,964/x
  3. Step 3: Cross multiply
    32,122.56x = 44,348.58 × 20,964
  4. Step 4: Simplify right side
    32,122.56x = 929,723,631.12
  5. Step 5: Solve for x
    x = 929,723,631.12/32,122.56
  6. Step 6: Final answer
    x = 28,943.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.