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Finding the Fourth Proportional to 30,047.28, 45,032.04 and 14,456.40

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Solution

The fourth proportional to 30,047.28, 45,032.04 and 14,456.40 is: 21,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.28 : 45,032.04 = 14,456.40 : x
  2. Step 2: Convert to fraction form
    30,047.28/45,032.04 = 14,456.40/x
  3. Step 3: Cross multiply
    30,047.28x = 45,032.04 × 14,456.40
  4. Step 4: Simplify right side
    30,047.28x = 651,001,183.06
  5. Step 5: Solve for x
    x = 651,001,183.06/30,047.28
  6. Step 6: Final answer
    x = 21,665.89

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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.