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Finding the Fourth Proportional to 51,686.16, 71,322.84 and 29,330.16

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Solution

The fourth proportional to 51,686.16, 71,322.84 and 29,330.16 is: 40,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,686.16 : 71,322.84 = 29,330.16 : x
  2. Step 2: Convert to fraction form
    51,686.16/71,322.84 = 29,330.16/x
  3. Step 3: Cross multiply
    51,686.16x = 71,322.84 × 29,330.16
  4. Step 4: Simplify right side
    51,686.16x = 2,091,910,308.85
  5. Step 5: Solve for x
    x = 2,091,910,308.85/51,686.16
  6. Step 6: Final answer
    x = 40,473.32

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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.