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Finding the Fourth Proportional to 34,495.76, 51,749.00 and 11,124.56

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Solution

The fourth proportional to 34,495.76, 51,749.00 and 11,124.56 is: 16,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.76 : 51,749.00 = 11,124.56 : x
  2. Step 2: Convert to fraction form
    34,495.76/51,749.00 = 11,124.56/x
  3. Step 3: Cross multiply
    34,495.76x = 51,749.00 × 11,124.56
  4. Step 4: Simplify right side
    34,495.76x = 575,684,624.51
  5. Step 5: Solve for x
    x = 575,684,624.51/34,495.76
  6. Step 6: Final answer
    x = 16,688.56

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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.