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Finding the Fourth Proportional to 30,432.96, 42,004.50 and 19,804.14

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Solution

The fourth proportional to 30,432.96, 42,004.50 and 19,804.14 is: 27,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432.96 : 42,004.50 = 19,804.14 : x
  2. Step 2: Convert to fraction form
    30,432.96/42,004.50 = 19,804.14/x
  3. Step 3: Cross multiply
    30,432.96x = 42,004.50 × 19,804.14
  4. Step 4: Simplify right side
    30,432.96x = 831,862,998.63
  5. Step 5: Solve for x
    x = 831,862,998.63/30,432.96
  6. Step 6: Final answer
    x = 27,334.28

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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.