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Finding the Fourth Proportional to 32,156.16, 44,384.40 and 20,976

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Solution

The fourth proportional to 32,156.16, 44,384.40 and 20,976 is: 28,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.16 : 44,384.40 = 20,976 : x
  2. Step 2: Convert to fraction form
    32,156.16/44,384.40 = 20,976/x
  3. Step 3: Cross multiply
    32,156.16x = 44,384.40 × 20,976
  4. Step 4: Simplify right side
    32,156.16x = 931,007,174.40
  5. Step 5: Solve for x
    x = 931,007,174.40/32,156.16
  6. Step 6: Final answer
    x = 28,952.69

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