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Finding the Fourth Proportional to 34,005.75, 51,015.92 and 14,300.88

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Solution

The fourth proportional to 34,005.75, 51,015.92 and 14,300.88 is: 21,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.75 : 51,015.92 = 14,300.88 : x
  2. Step 2: Convert to fraction form
    34,005.75/51,015.92 = 14,300.88/x
  3. Step 3: Cross multiply
    34,005.75x = 51,015.92 × 14,300.88
  4. Step 4: Simplify right side
    34,005.75x = 729,572,478.51
  5. Step 5: Solve for x
    x = 729,572,478.51/34,005.75
  6. Step 6: Final answer
    x = 21,454.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.