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Finding the Fourth Proportional to 52,304.88, 78,494.34 and 22,731.36

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Solution

The fourth proportional to 52,304.88, 78,494.34 and 22,731.36 is: 34,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304.88 : 78,494.34 = 22,731.36 : x
  2. Step 2: Convert to fraction form
    52,304.88/78,494.34 = 22,731.36/x
  3. Step 3: Cross multiply
    52,304.88x = 78,494.34 × 22,731.36
  4. Step 4: Simplify right side
    52,304.88x = 1,784,283,100.50
  5. Step 5: Solve for x
    x = 1,784,283,100.50/52,304.88
  6. Step 6: Final answer
    x = 34,113.13

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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.