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Finding the Fourth Proportional to 32,417.84, 44,736 and 18,270.40

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Solution

The fourth proportional to 32,417.84, 44,736 and 18,270.40 is: 25,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.84 : 44,736 = 18,270.40 : x
  2. Step 2: Convert to fraction form
    32,417.84/44,736 = 18,270.40/x
  3. Step 3: Cross multiply
    32,417.84x = 44,736 × 18,270.40
  4. Step 4: Simplify right side
    32,417.84x = 817,344,614.40
  5. Step 5: Solve for x
    x = 817,344,614.40/32,417.84
  6. Step 6: Final answer
    x = 25,212.80

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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.