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Finding the Fourth Proportional to 34,529.84, 47,649.76 and 20,387.24

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Solution

The fourth proportional to 34,529.84, 47,649.76 and 20,387.24 is: 28,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,529.84 : 47,649.76 = 20,387.24 : x
  2. Step 2: Convert to fraction form
    34,529.84/47,649.76 = 20,387.24/x
  3. Step 3: Cross multiply
    34,529.84x = 47,649.76 × 20,387.24
  4. Step 4: Simplify right side
    34,529.84x = 971,447,093.06
  5. Step 5: Solve for x
    x = 971,447,093.06/34,529.84
  6. Step 6: Final answer
    x = 28,133.55

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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.