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Finding the Fourth Proportional to 30,290.36, 45,442.71 and 9,513.86

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Solution

The fourth proportional to 30,290.36, 45,442.71 and 9,513.86 is: 14,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.36 : 45,442.71 = 9,513.86 : x
  2. Step 2: Convert to fraction form
    30,290.36/45,442.71 = 9,513.86/x
  3. Step 3: Cross multiply
    30,290.36x = 45,442.71 × 9,513.86
  4. Step 4: Simplify right side
    30,290.36x = 432,335,353.75
  5. Step 5: Solve for x
    x = 432,335,353.75/30,290.36
  6. Step 6: Final answer
    x = 14,273.04

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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.