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Finding the Fourth Proportional to 30,892.79, 42,632.00 and 16,745.63

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Solution

The fourth proportional to 30,892.79, 42,632.00 and 16,745.63 is: 23,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.79 : 42,632.00 = 16,745.63 : x
  2. Step 2: Convert to fraction form
    30,892.79/42,632.00 = 16,745.63/x
  3. Step 3: Cross multiply
    30,892.79x = 42,632.00 × 16,745.63
  4. Step 4: Simplify right side
    30,892.79x = 713,899,526.86
  5. Step 5: Solve for x
    x = 713,899,526.86/30,892.79
  6. Step 6: Final answer
    x = 23,108.94

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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.