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Finding the Fourth Proportional to 37,543.70, 51,821.84 and 21,638.74

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Solution

The fourth proportional to 37,543.70, 51,821.84 and 21,638.74 is: 29,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,543.70 : 51,821.84 = 21,638.74 : x
  2. Step 2: Convert to fraction form
    37,543.70/51,821.84 = 21,638.74/x
  3. Step 3: Cross multiply
    37,543.70x = 51,821.84 × 21,638.74
  4. Step 4: Simplify right side
    37,543.70x = 1,121,359,165.48
  5. Step 5: Solve for x
    x = 1,121,359,165.48/37,543.70
  6. Step 6: Final answer
    x = 29,868.10

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