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Finding the Fourth Proportional to 52,511.94, 72,445.05 and 32,083.38

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Solution

The fourth proportional to 52,511.94, 72,445.05 and 32,083.38 is: 44,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,511.94 : 72,445.05 = 32,083.38 : x
  2. Step 2: Convert to fraction form
    52,511.94/72,445.05 = 32,083.38/x
  3. Step 3: Cross multiply
    52,511.94x = 72,445.05 × 32,083.38
  4. Step 4: Simplify right side
    52,511.94x = 2,324,282,068.27
  5. Step 5: Solve for x
    x = 2,324,282,068.27/52,511.94
  6. Step 6: Final answer
    x = 44,261.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.