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Finding the Fourth Proportional to 52,644.63, 72,649.61 and 29,985.74

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Solution

The fourth proportional to 52,644.63, 72,649.61 and 29,985.74 is: 41,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.63 : 72,649.61 = 29,985.74 : x
  2. Step 2: Convert to fraction form
    52,644.63/72,649.61 = 29,985.74/x
  3. Step 3: Cross multiply
    52,644.63x = 72,649.61 × 29,985.74
  4. Step 4: Simplify right side
    52,644.63x = 2,178,452,596.92
  5. Step 5: Solve for x
    x = 2,178,452,596.92/52,644.63
  6. Step 6: Final answer
    x = 41,380.34

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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.