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Finding the Fourth Proportional to 32,948.48, 49,402.40 and 12,166.40

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Solution

The fourth proportional to 32,948.48, 49,402.40 and 12,166.40 is: 18,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.48 : 49,402.40 = 12,166.40 : x
  2. Step 2: Convert to fraction form
    32,948.48/49,402.40 = 12,166.40/x
  3. Step 3: Cross multiply
    32,948.48x = 49,402.40 × 12,166.40
  4. Step 4: Simplify right side
    32,948.48x = 601,049,359.36
  5. Step 5: Solve for x
    x = 601,049,359.36/32,948.48
  6. Step 6: Final answer
    x = 18,242.10

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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.