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Finding the Fourth Proportional to 30,543.06, 45,825.93 and 9,768.18

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Solution

The fourth proportional to 30,543.06, 45,825.93 and 9,768.18 is: 14,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.06 : 45,825.93 = 9,768.18 : x
  2. Step 2: Convert to fraction form
    30,543.06/45,825.93 = 9,768.18/x
  3. Step 3: Cross multiply
    30,543.06x = 45,825.93 × 9,768.18
  4. Step 4: Simplify right side
    30,543.06x = 447,635,932.91
  5. Step 5: Solve for x
    x = 447,635,932.91/30,543.06
  6. Step 6: Final answer
    x = 14,655.90

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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.