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Finding the Fourth Proportional to 29,577.30, 44,301.15 and 23,745.30

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Solution

The fourth proportional to 29,577.30, 44,301.15 and 23,745.30 is: 35,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,577.30 : 44,301.15 = 23,745.30 : x
  2. Step 2: Convert to fraction form
    29,577.30/44,301.15 = 23,745.30/x
  3. Step 3: Cross multiply
    29,577.30x = 44,301.15 × 23,745.30
  4. Step 4: Simplify right side
    29,577.30x = 1,051,944,097.10
  5. Step 5: Solve for x
    x = 1,051,944,097.10/29,577.30
  6. Step 6: Final answer
    x = 35,565.93

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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.