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Finding the Fourth Proportional to 32,852.48, 49,276.20 and 12,074

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Solution

The fourth proportional to 32,852.48, 49,276.20 and 12,074 is: 18,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.48 : 49,276.20 = 12,074 : x
  2. Step 2: Convert to fraction form
    32,852.48/49,276.20 = 12,074/x
  3. Step 3: Cross multiply
    32,852.48x = 49,276.20 × 12,074
  4. Step 4: Simplify right side
    32,852.48x = 594,960,838.80
  5. Step 5: Solve for x
    x = 594,960,838.80/32,852.48
  6. Step 6: Final answer
    x = 18,110.07

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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.