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Finding the Fourth Proportional to 29,797.88, 44,702.28 and 14,215.50

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Solution

The fourth proportional to 29,797.88, 44,702.28 and 14,215.50 is: 21,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.88 : 44,702.28 = 14,215.50 : x
  2. Step 2: Convert to fraction form
    29,797.88/44,702.28 = 14,215.50/x
  3. Step 3: Cross multiply
    29,797.88x = 44,702.28 × 14,215.50
  4. Step 4: Simplify right side
    29,797.88x = 635,465,261.34
  5. Step 5: Solve for x
    x = 635,465,261.34/29,797.88
  6. Step 6: Final answer
    x = 21,325.86

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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.