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Finding the Fourth Proportional to 30,200.94, 45,311.13 and 12,666.06

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Solution

The fourth proportional to 30,200.94, 45,311.13 and 12,666.06 is: 19,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.94 : 45,311.13 = 12,666.06 : x
  2. Step 2: Convert to fraction form
    30,200.94/45,311.13 = 12,666.06/x
  3. Step 3: Cross multiply
    30,200.94x = 45,311.13 × 12,666.06
  4. Step 4: Simplify right side
    30,200.94x = 573,913,491.25
  5. Step 5: Solve for x
    x = 573,913,491.25/30,200.94
  6. Step 6: Final answer
    x = 19,003.17

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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.