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Finding the Fourth Proportional to 30,988.36, 46,500.76 and 12,270.20

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Solution

The fourth proportional to 30,988.36, 46,500.76 and 12,270.20 is: 18,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,988.36 : 46,500.76 = 12,270.20 : x
  2. Step 2: Convert to fraction form
    30,988.36/46,500.76 = 12,270.20/x
  3. Step 3: Cross multiply
    30,988.36x = 46,500.76 × 12,270.20
  4. Step 4: Simplify right side
    30,988.36x = 570,573,625.35
  5. Step 5: Solve for x
    x = 570,573,625.35/30,988.36
  6. Step 6: Final answer
    x = 18,412.51

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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.