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Finding the Fourth Proportional to 30,543.67, 45,825.33 and 14,539.99

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Solution

The fourth proportional to 30,543.67, 45,825.33 and 14,539.99 is: 21,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.67 : 45,825.33 = 14,539.99 : x
  2. Step 2: Convert to fraction form
    30,543.67/45,825.33 = 14,539.99/x
  3. Step 3: Cross multiply
    30,543.67x = 45,825.33 × 14,539.99
  4. Step 4: Simplify right side
    30,543.67x = 666,299,839.95
  5. Step 5: Solve for x
    x = 666,299,839.95/30,543.67
  6. Step 6: Final answer
    x = 21,814.66

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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.