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Finding the Fourth Proportional to 30,575.75, 45,870.84 and 9,514.80

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Solution

The fourth proportional to 30,575.75, 45,870.84 and 9,514.80 is: 14,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.75 : 45,870.84 = 9,514.80 : x
  2. Step 2: Convert to fraction form
    30,575.75/45,870.84 = 9,514.80/x
  3. Step 3: Cross multiply
    30,575.75x = 45,870.84 × 9,514.80
  4. Step 4: Simplify right side
    30,575.75x = 436,451,868.43
  5. Step 5: Solve for x
    x = 436,451,868.43/30,575.75
  6. Step 6: Final answer
    x = 14,274.45

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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.