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Finding the Fourth Proportional to 43,894.46, 65,852.16 and 14,312.32

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Solution

The fourth proportional to 43,894.46, 65,852.16 and 14,312.32 is: 21,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,894.46 : 65,852.16 = 14,312.32 : x
  2. Step 2: Convert to fraction form
    43,894.46/65,852.16 = 14,312.32/x
  3. Step 3: Cross multiply
    43,894.46x = 65,852.16 × 14,312.32
  4. Step 4: Simplify right side
    43,894.46x = 942,497,274.28
  5. Step 5: Solve for x
    x = 942,497,274.28/43,894.46
  6. Step 6: Final answer
    x = 21,471.90

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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.