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Finding the Fourth Proportional to 30,142.77, 45,194.22 and 13,479.87

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Solution

The fourth proportional to 30,142.77, 45,194.22 and 13,479.87 is: 20,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.77 : 45,194.22 = 13,479.87 : x
  2. Step 2: Convert to fraction form
    30,142.77/45,194.22 = 13,479.87/x
  3. Step 3: Cross multiply
    30,142.77x = 45,194.22 × 13,479.87
  4. Step 4: Simplify right side
    30,142.77x = 609,212,210.35
  5. Step 5: Solve for x
    x = 609,212,210.35/30,142.77
  6. Step 6: Final answer
    x = 20,210.89

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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.