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Finding the Fourth Proportional to 121,644.24, 182,483.82 and 37,411.50

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Solution

The fourth proportional to 121,644.24, 182,483.82 and 37,411.50 is: 56,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,644.24 : 182,483.82 = 37,411.50 : x
  2. Step 2: Convert to fraction form
    121,644.24/182,483.82 = 37,411.50/x
  3. Step 3: Cross multiply
    121,644.24x = 182,483.82 × 37,411.50
  4. Step 4: Simplify right side
    121,644.24x = 6,826,993,431.93
  5. Step 5: Solve for x
    x = 6,826,993,431.93/121,644.24
  6. Step 6: Final answer
    x = 56,122.62

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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.