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Finding the Fourth Proportional to 32,675.36, 49,013.06 and 9,301.80

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Solution

The fourth proportional to 32,675.36, 49,013.06 and 9,301.80 is: 13,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.36 : 49,013.06 = 9,301.80 : x
  2. Step 2: Convert to fraction form
    32,675.36/49,013.06 = 9,301.80/x
  3. Step 3: Cross multiply
    32,675.36x = 49,013.06 × 9,301.80
  4. Step 4: Simplify right side
    32,675.36x = 455,909,635.00
  5. Step 5: Solve for x
    x = 455,909,635.00/32,675.36
  6. Step 6: Final answer
    x = 13,952.71

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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.