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Finding the Fourth Proportional to 35,823.50, 53,735.25 and 13,935.50

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Solution

The fourth proportional to 35,823.50, 53,735.25 and 13,935.50 is: 20,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,823.50 : 53,735.25 = 13,935.50 : x
  2. Step 2: Convert to fraction form
    35,823.50/53,735.25 = 13,935.50/x
  3. Step 3: Cross multiply
    35,823.50x = 53,735.25 × 13,935.50
  4. Step 4: Simplify right side
    35,823.50x = 748,827,576.38
  5. Step 5: Solve for x
    x = 748,827,576.38/35,823.50
  6. Step 6: Final answer
    x = 20,903.25

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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.