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Finding the Fourth Proportional to 30,289.97, 45,442.15 and 9,513.47

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Solution

The fourth proportional to 30,289.97, 45,442.15 and 9,513.47 is: 14,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.97 : 45,442.15 = 9,513.47 : x
  2. Step 2: Convert to fraction form
    30,289.97/45,442.15 = 9,513.47/x
  3. Step 3: Cross multiply
    30,289.97x = 45,442.15 × 9,513.47
  4. Step 4: Simplify right side
    30,289.97x = 432,312,620.58
  5. Step 5: Solve for x
    x = 432,312,620.58/30,289.97
  6. Step 6: Final answer
    x = 14,272.47

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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.