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Finding the Fourth Proportional to 35,655.84, 53,485 and 16,926.23

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Solution

The fourth proportional to 35,655.84, 53,485 and 16,926.23 is: 25,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.84 : 53,485 = 16,926.23 : x
  2. Step 2: Convert to fraction form
    35,655.84/53,485 = 16,926.23/x
  3. Step 3: Cross multiply
    35,655.84x = 53,485 × 16,926.23
  4. Step 4: Simplify right side
    35,655.84x = 905,299,144.13
  5. Step 5: Solve for x
    x = 905,299,144.13/35,655.84
  6. Step 6: Final answer
    x = 25,389.93

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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.