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Finding the Fourth Proportional to 30,892.95, 42,632.01 and 16,745.76

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Solution

The fourth proportional to 30,892.95, 42,632.01 and 16,745.76 is: 23,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.95 : 42,632.01 = 16,745.76 : x
  2. Step 2: Convert to fraction form
    30,892.95/42,632.01 = 16,745.76/x
  3. Step 3: Cross multiply
    30,892.95x = 42,632.01 × 16,745.76
  4. Step 4: Simplify right side
    30,892.95x = 713,905,407.78
  5. Step 5: Solve for x
    x = 713,905,407.78/30,892.95
  6. Step 6: Final answer
    x = 23,109.01

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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.