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Finding the Fourth Proportional to 30,176.28, 45,259.50 and 7,991.06

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Solution

The fourth proportional to 30,176.28, 45,259.50 and 7,991.06 is: 11,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.28 : 45,259.50 = 7,991.06 : x
  2. Step 2: Convert to fraction form
    30,176.28/45,259.50 = 7,991.06/x
  3. Step 3: Cross multiply
    30,176.28x = 45,259.50 × 7,991.06
  4. Step 4: Simplify right side
    30,176.28x = 361,671,380.07
  5. Step 5: Solve for x
    x = 361,671,380.07/30,176.28
  6. Step 6: Final answer
    x = 11,985.29

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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.