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Finding the Fourth Proportional to 35,478.27, 53,238.02 and 13,307.09

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Solution

The fourth proportional to 35,478.27, 53,238.02 and 13,307.09 is: 19,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.27 : 53,238.02 = 13,307.09 : x
  2. Step 2: Convert to fraction form
    35,478.27/53,238.02 = 13,307.09/x
  3. Step 3: Cross multiply
    35,478.27x = 53,238.02 × 13,307.09
  4. Step 4: Simplify right side
    35,478.27x = 708,442,790.84
  5. Step 5: Solve for x
    x = 708,442,790.84/35,478.27
  6. Step 6: Final answer
    x = 19,968.36

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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.