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Finding the Fourth Proportional to 29,885.31, 44,828.34 and 7,698.09

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Solution

The fourth proportional to 29,885.31, 44,828.34 and 7,698.09 is: 11,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,885.31 : 44,828.34 = 7,698.09 : x
  2. Step 2: Convert to fraction form
    29,885.31/44,828.34 = 7,698.09/x
  3. Step 3: Cross multiply
    29,885.31x = 44,828.34 × 7,698.09
  4. Step 4: Simplify right side
    29,885.31x = 345,092,595.87
  5. Step 5: Solve for x
    x = 345,092,595.87/29,885.31
  6. Step 6: Final answer
    x = 11,547.23

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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.