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Finding the Fourth Proportional to 30,402.61, 45,614.39 and 12,642.81

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Solution

The fourth proportional to 30,402.61, 45,614.39 and 12,642.81 is: 18,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.61 : 45,614.39 = 12,642.81 : x
  2. Step 2: Convert to fraction form
    30,402.61/45,614.39 = 12,642.81/x
  3. Step 3: Cross multiply
    30,402.61x = 45,614.39 × 12,642.81
  4. Step 4: Simplify right side
    30,402.61x = 576,694,066.04
  5. Step 5: Solve for x
    x = 576,694,066.04/30,402.61
  6. Step 6: Final answer
    x = 18,968.57

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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.