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Finding the Fourth Proportional to 55,597.48, 83,411.82 and 22,340.90

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Solution

The fourth proportional to 55,597.48, 83,411.82 and 22,340.90 is: 33,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,597.48 : 83,411.82 = 22,340.90 : x
  2. Step 2: Convert to fraction form
    55,597.48/83,411.82 = 22,340.90/x
  3. Step 3: Cross multiply
    55,597.48x = 83,411.82 × 22,340.90
  4. Step 4: Simplify right side
    55,597.48x = 1,863,495,129.44
  5. Step 5: Solve for x
    x = 1,863,495,129.44/55,597.48
  6. Step 6: Final answer
    x = 33,517.62

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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.