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Finding the Fourth Proportional to 30,314.76, 41,840.82 and 20,373

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Solution

The fourth proportional to 30,314.76, 41,840.82 and 20,373 is: 28,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.76 : 41,840.82 = 20,373 : x
  2. Step 2: Convert to fraction form
    30,314.76/41,840.82 = 20,373/x
  3. Step 3: Cross multiply
    30,314.76x = 41,840.82 × 20,373
  4. Step 4: Simplify right side
    30,314.76x = 852,423,025.86
  5. Step 5: Solve for x
    x = 852,423,025.86/30,314.76
  6. Step 6: Final answer
    x = 28,119.08

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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.