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Finding the Fourth Proportional to 32,852.84, 45,337.06 and 17,949.16

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Solution

The fourth proportional to 32,852.84, 45,337.06 and 17,949.16 is: 24,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.84 : 45,337.06 = 17,949.16 : x
  2. Step 2: Convert to fraction form
    32,852.84/45,337.06 = 17,949.16/x
  3. Step 3: Cross multiply
    32,852.84x = 45,337.06 × 17,949.16
  4. Step 4: Simplify right side
    32,852.84x = 813,762,143.87
  5. Step 5: Solve for x
    x = 813,762,143.87/32,852.84
  6. Step 6: Final answer
    x = 24,769.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.