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Finding the Fourth Proportional to 42,857.99, 64,291.20 and 14,774.34

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Solution

The fourth proportional to 42,857.99, 64,291.20 and 14,774.34 is: 22,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857.99 : 64,291.20 = 14,774.34 : x
  2. Step 2: Convert to fraction form
    42,857.99/64,291.20 = 14,774.34/x
  3. Step 3: Cross multiply
    42,857.99x = 64,291.20 × 14,774.34
  4. Step 4: Simplify right side
    42,857.99x = 949,860,103.21
  5. Step 5: Solve for x
    x = 949,860,103.21/42,857.99
  6. Step 6: Final answer
    x = 22,162.97

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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.