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Finding the Fourth Proportional to 32,852.96, 49,250 and 12,061.92

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Solution

The fourth proportional to 32,852.96, 49,250 and 12,061.92 is: 18,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.96 : 49,250 = 12,061.92 : x
  2. Step 2: Convert to fraction form
    32,852.96/49,250 = 12,061.92/x
  3. Step 3: Cross multiply
    32,852.96x = 49,250 × 12,061.92
  4. Step 4: Simplify right side
    32,852.96x = 594,049,560
  5. Step 5: Solve for x
    x = 594,049,560/32,852.96
  6. Step 6: Final answer
    x = 18,082.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.