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Finding the Fourth Proportional to 30,157.31, 45,229.82 and 11,430.89

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Solution

The fourth proportional to 30,157.31, 45,229.82 and 11,430.89 is: 17,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157.31 : 45,229.82 = 11,430.89 : x
  2. Step 2: Convert to fraction form
    30,157.31/45,229.82 = 11,430.89/x
  3. Step 3: Cross multiply
    30,157.31x = 45,229.82 × 11,430.89
  4. Step 4: Simplify right side
    30,157.31x = 517,016,813.84
  5. Step 5: Solve for x
    x = 517,016,813.84/30,157.31
  6. Step 6: Final answer
    x = 17,144.00

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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.