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Finding the Fourth Proportional to 34,050, 51,037.12 and 25,702.94

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Solution

The fourth proportional to 34,050, 51,037.12 and 25,702.94 is: 38,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050 : 51,037.12 = 25,702.94 : x
  2. Step 2: Convert to fraction form
    34,050/51,037.12 = 25,702.94/x
  3. Step 3: Cross multiply
    34,050x = 51,037.12 × 25,702.94
  4. Step 4: Simplify right side
    34,050x = 1,311,804,033.13
  5. Step 5: Solve for x
    x = 1,311,804,033.13/34,050
  6. Step 6: Final answer
    x = 38,525.82

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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.