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Finding the Fourth Proportional to 32,829.20, 49,243.80 and 9,456.40

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Solution

The fourth proportional to 32,829.20, 49,243.80 and 9,456.40 is: 14,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.20 : 49,243.80 = 9,456.40 : x
  2. Step 2: Convert to fraction form
    32,829.20/49,243.80 = 9,456.40/x
  3. Step 3: Cross multiply
    32,829.20x = 49,243.80 × 9,456.40
  4. Step 4: Simplify right side
    32,829.20x = 465,669,070.32
  5. Step 5: Solve for x
    x = 465,669,070.32/32,829.20
  6. Step 6: Final answer
    x = 14,184.60

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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.