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Finding the Fourth Proportional to 30,114.72, 45,137.52 and 11,636.64

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Solution

The fourth proportional to 30,114.72, 45,137.52 and 11,636.64 is: 17,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.72 : 45,137.52 = 11,636.64 : x
  2. Step 2: Convert to fraction form
    30,114.72/45,137.52 = 11,636.64/x
  3. Step 3: Cross multiply
    30,114.72x = 45,137.52 × 11,636.64
  4. Step 4: Simplify right side
    30,114.72x = 525,249,070.73
  5. Step 5: Solve for x
    x = 525,249,070.73/30,114.72
  6. Step 6: Final answer
    x = 17,441.61

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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.