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Finding the Fourth Proportional to 29,603.80, 44,367.63 and 13,987

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Solution

The fourth proportional to 29,603.80, 44,367.63 and 13,987 is: 20,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,603.80 : 44,367.63 = 13,987 : x
  2. Step 2: Convert to fraction form
    29,603.80/44,367.63 = 13,987/x
  3. Step 3: Cross multiply
    29,603.80x = 44,367.63 × 13,987
  4. Step 4: Simplify right side
    29,603.80x = 620,570,040.81
  5. Step 5: Solve for x
    x = 620,570,040.81/29,603.80
  6. Step 6: Final answer
    x = 20,962.51

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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.