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Finding the Fourth Proportional to 30,511.60, 45,772.88 and 10,520.16

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Solution

The fourth proportional to 30,511.60, 45,772.88 and 10,520.16 is: 15,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.60 : 45,772.88 = 10,520.16 : x
  2. Step 2: Convert to fraction form
    30,511.60/45,772.88 = 10,520.16/x
  3. Step 3: Cross multiply
    30,511.60x = 45,772.88 × 10,520.16
  4. Step 4: Simplify right side
    30,511.60x = 481,538,021.26
  5. Step 5: Solve for x
    x = 481,538,021.26/30,511.60
  6. Step 6: Final answer
    x = 15,782.13

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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.