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Finding the Fourth Proportional to 54,434.76, 81,683.64 and 22,842

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Solution

The fourth proportional to 54,434.76, 81,683.64 and 22,842 is: 34,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,434.76 : 81,683.64 = 22,842 : x
  2. Step 2: Convert to fraction form
    54,434.76/81,683.64 = 22,842/x
  3. Step 3: Cross multiply
    54,434.76x = 81,683.64 × 22,842
  4. Step 4: Simplify right side
    54,434.76x = 1,865,817,704.88
  5. Step 5: Solve for x
    x = 1,865,817,704.88/54,434.76
  6. Step 6: Final answer
    x = 34,276.22

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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.