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Finding the Fourth Proportional to 32,701.90, 49,053.12 and 9,328.54

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Solution

The fourth proportional to 32,701.90, 49,053.12 and 9,328.54 is: 13,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.90 : 49,053.12 = 9,328.54 : x
  2. Step 2: Convert to fraction form
    32,701.90/49,053.12 = 9,328.54/x
  3. Step 3: Cross multiply
    32,701.90x = 49,053.12 × 9,328.54
  4. Step 4: Simplify right side
    32,701.90x = 457,593,992.04
  5. Step 5: Solve for x
    x = 457,593,992.04/32,701.90
  6. Step 6: Final answer
    x = 13,992.89

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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.