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Finding the Fourth Proportional to 33,038.32, 49,577.64 and 14,314.72

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Solution

The fourth proportional to 33,038.32, 49,577.64 and 14,314.72 is: 21,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.32 : 49,577.64 = 14,314.72 : x
  2. Step 2: Convert to fraction form
    33,038.32/49,577.64 = 14,314.72/x
  3. Step 3: Cross multiply
    33,038.32x = 49,577.64 × 14,314.72
  4. Step 4: Simplify right side
    33,038.32x = 709,690,034.86
  5. Step 5: Solve for x
    x = 709,690,034.86/33,038.32
  6. Step 6: Final answer
    x = 21,480.81

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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.