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Finding the Fourth Proportional to 30,571.60, 45,857.40 and 10,852.15

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Solution

The fourth proportional to 30,571.60, 45,857.40 and 10,852.15 is: 16,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.60 : 45,857.40 = 10,852.15 : x
  2. Step 2: Convert to fraction form
    30,571.60/45,857.40 = 10,852.15/x
  3. Step 3: Cross multiply
    30,571.60x = 45,857.40 × 10,852.15
  4. Step 4: Simplify right side
    30,571.60x = 497,651,383.41
  5. Step 5: Solve for x
    x = 497,651,383.41/30,571.60
  6. Step 6: Final answer
    x = 16,278.23

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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.