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Finding the Fourth Proportional to 51,957.76, 78,014.56 and 29,796.16

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Solution

The fourth proportional to 51,957.76, 78,014.56 and 29,796.16 is: 44,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957.76 : 78,014.56 = 29,796.16 : x
  2. Step 2: Convert to fraction form
    51,957.76/78,014.56 = 29,796.16/x
  3. Step 3: Cross multiply
    51,957.76x = 78,014.56 × 29,796.16
  4. Step 4: Simplify right side
    51,957.76x = 2,324,534,312.09
  5. Step 5: Solve for x
    x = 2,324,534,312.09/51,957.76
  6. Step 6: Final answer
    x = 44,738.92

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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.