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Finding the Fourth Proportional to 42,783.67, 64,122 and 20,591.11

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Solution

The fourth proportional to 42,783.67, 64,122 and 20,591.11 is: 30,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783.67 : 64,122 = 20,591.11 : x
  2. Step 2: Convert to fraction form
    42,783.67/64,122 = 20,591.11/x
  3. Step 3: Cross multiply
    42,783.67x = 64,122 × 20,591.11
  4. Step 4: Simplify right side
    42,783.67x = 1,320,343,155.42
  5. Step 5: Solve for x
    x = 1,320,343,155.42/42,783.67
  6. Step 6: Final answer
    x = 30,860.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.