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Finding the Fourth Proportional to 34,033.96, 51,050.94 and 15,553

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Solution

The fourth proportional to 34,033.96, 51,050.94 and 15,553 is: 23,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.96 : 51,050.94 = 15,553 : x
  2. Step 2: Convert to fraction form
    34,033.96/51,050.94 = 15,553/x
  3. Step 3: Cross multiply
    34,033.96x = 51,050.94 × 15,553
  4. Step 4: Simplify right side
    34,033.96x = 793,995,269.82
  5. Step 5: Solve for x
    x = 793,995,269.82/34,033.96
  6. Step 6: Final answer
    x = 23,329.50

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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.