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Finding the Fourth Proportional to 30,686.72, 45,994.24 and 14,027.52

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Solution

The fourth proportional to 30,686.72, 45,994.24 and 14,027.52 is: 21,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.72 : 45,994.24 = 14,027.52 : x
  2. Step 2: Convert to fraction form
    30,686.72/45,994.24 = 14,027.52/x
  3. Step 3: Cross multiply
    30,686.72x = 45,994.24 × 14,027.52
  4. Step 4: Simplify right side
    30,686.72x = 645,185,121.48
  5. Step 5: Solve for x
    x = 645,185,121.48/30,686.72
  6. Step 6: Final answer
    x = 21,024.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.