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Finding the Fourth Proportional to 30,514.86, 45,728.55 and 17,339.40

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Solution

The fourth proportional to 30,514.86, 45,728.55 and 17,339.40 is: 25,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.86 : 45,728.55 = 17,339.40 : x
  2. Step 2: Convert to fraction form
    30,514.86/45,728.55 = 17,339.40/x
  3. Step 3: Cross multiply
    30,514.86x = 45,728.55 × 17,339.40
  4. Step 4: Simplify right side
    30,514.86x = 792,905,619.87
  5. Step 5: Solve for x
    x = 792,905,619.87/30,514.86
  6. Step 6: Final answer
    x = 25,984.25

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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.