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Finding the Fourth Proportional to 30,042.24, 45,065.04 and 12,513.84

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Solution

The fourth proportional to 30,042.24, 45,065.04 and 12,513.84 is: 18,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.24 : 45,065.04 = 12,513.84 : x
  2. Step 2: Convert to fraction form
    30,042.24/45,065.04 = 12,513.84/x
  3. Step 3: Cross multiply
    30,042.24x = 45,065.04 × 12,513.84
  4. Step 4: Simplify right side
    30,042.24x = 563,936,700.15
  5. Step 5: Solve for x
    x = 563,936,700.15/30,042.24
  6. Step 6: Final answer
    x = 18,771.46

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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.