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Finding the Fourth Proportional to 34,048.74, 51,073.11 and 10,677

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Solution

The fourth proportional to 34,048.74, 51,073.11 and 10,677 is: 16,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048.74 : 51,073.11 = 10,677 : x
  2. Step 2: Convert to fraction form
    34,048.74/51,073.11 = 10,677/x
  3. Step 3: Cross multiply
    34,048.74x = 51,073.11 × 10,677
  4. Step 4: Simplify right side
    34,048.74x = 545,307,595.47
  5. Step 5: Solve for x
    x = 545,307,595.47/34,048.74
  6. Step 6: Final answer
    x = 16,015.50

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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.