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Finding the Fourth Proportional to 34,789.90, 52,191.02 and 11,102.64

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Solution

The fourth proportional to 34,789.90, 52,191.02 and 11,102.64 is: 16,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,789.90 : 52,191.02 = 11,102.64 : x
  2. Step 2: Convert to fraction form
    34,789.90/52,191.02 = 11,102.64/x
  3. Step 3: Cross multiply
    34,789.90x = 52,191.02 × 11,102.64
  4. Step 4: Simplify right side
    34,789.90x = 579,458,106.29
  5. Step 5: Solve for x
    x = 579,458,106.29/34,789.90
  6. Step 6: Final answer
    x = 16,655.93

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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.