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Finding the Fourth Proportional to 34,357.76, 51,544.00 and 10,664.79

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Solution

The fourth proportional to 34,357.76, 51,544.00 and 10,664.79 is: 15,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,357.76 : 51,544.00 = 10,664.79 : x
  2. Step 2: Convert to fraction form
    34,357.76/51,544.00 = 10,664.79/x
  3. Step 3: Cross multiply
    34,357.76x = 51,544.00 × 10,664.79
  4. Step 4: Simplify right side
    34,357.76x = 549,705,624.72
  5. Step 5: Solve for x
    x = 549,705,624.72/34,357.76
  6. Step 6: Final answer
    x = 15,999.46

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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.