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Finding the Fourth Proportional to 35,817.82, 53,737.46 and 14,459.53

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Solution

The fourth proportional to 35,817.82, 53,737.46 and 14,459.53 is: 21,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.82 : 53,737.46 = 14,459.53 : x
  2. Step 2: Convert to fraction form
    35,817.82/53,737.46 = 14,459.53/x
  3. Step 3: Cross multiply
    35,817.82x = 53,737.46 × 14,459.53
  4. Step 4: Simplify right side
    35,817.82x = 777,018,414.99
  5. Step 5: Solve for x
    x = 777,018,414.99/35,817.82
  6. Step 6: Final answer
    x = 21,693.63

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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.