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Finding the Fourth Proportional to 29,965.56, 44,964.03 and 11,258.50

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Solution

The fourth proportional to 29,965.56, 44,964.03 and 11,258.50 is: 16,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.56 : 44,964.03 = 11,258.50 : x
  2. Step 2: Convert to fraction form
    29,965.56/44,964.03 = 11,258.50/x
  3. Step 3: Cross multiply
    29,965.56x = 44,964.03 × 11,258.50
  4. Step 4: Simplify right side
    29,965.56x = 506,227,531.76
  5. Step 5: Solve for x
    x = 506,227,531.76/29,965.56
  6. Step 6: Final answer
    x = 16,893.64

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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.