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Finding the Fourth Proportional to 30,193.38, 45,291.09 and 8,009.00

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Solution

The fourth proportional to 30,193.38, 45,291.09 and 8,009.00 is: 12,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.38 : 45,291.09 = 8,009.00 : x
  2. Step 2: Convert to fraction form
    30,193.38/45,291.09 = 8,009.00/x
  3. Step 3: Cross multiply
    30,193.38x = 45,291.09 × 8,009.00
  4. Step 4: Simplify right side
    30,193.38x = 362,736,113.35
  5. Step 5: Solve for x
    x = 362,736,113.35/30,193.38
  6. Step 6: Final answer
    x = 12,013.76

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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.