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Finding the Fourth Proportional to 32,841.84, 49,217.34 and 28,448.40

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Solution

The fourth proportional to 32,841.84, 49,217.34 and 28,448.40 is: 42,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.84 : 49,217.34 = 28,448.40 : x
  2. Step 2: Convert to fraction form
    32,841.84/49,217.34 = 28,448.40/x
  3. Step 3: Cross multiply
    32,841.84x = 49,217.34 × 28,448.40
  4. Step 4: Simplify right side
    32,841.84x = 1,400,154,575.26
  5. Step 5: Solve for x
    x = 1,400,154,575.26/32,841.84
  6. Step 6: Final answer
    x = 42,633.26

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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.