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Finding the Fourth Proportional to 34,011.12, 51,023.16 and 13,233

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Solution

The fourth proportional to 34,011.12, 51,023.16 and 13,233 is: 19,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011.12 : 51,023.16 = 13,233 : x
  2. Step 2: Convert to fraction form
    34,011.12/51,023.16 = 13,233/x
  3. Step 3: Cross multiply
    34,011.12x = 51,023.16 × 13,233
  4. Step 4: Simplify right side
    34,011.12x = 675,189,476.28
  5. Step 5: Solve for x
    x = 675,189,476.28/34,011.12
  6. Step 6: Final answer
    x = 19,852.02

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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.