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Finding the Fourth Proportional to 37,964, 52,393.56 and 21,200.24

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Solution

The fourth proportional to 37,964, 52,393.56 and 21,200.24 is: 29,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964 : 52,393.56 = 21,200.24 : x
  2. Step 2: Convert to fraction form
    37,964/52,393.56 = 21,200.24/x
  3. Step 3: Cross multiply
    37,964x = 52,393.56 × 21,200.24
  4. Step 4: Simplify right side
    37,964x = 1,110,756,046.45
  5. Step 5: Solve for x
    x = 1,110,756,046.45/37,964
  6. Step 6: Final answer
    x = 29,258.14

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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.