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Finding the Fourth Proportional to 30,140.34, 45,209.91 and 9,363.78

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Solution

The fourth proportional to 30,140.34, 45,209.91 and 9,363.78 is: 14,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.34 : 45,209.91 = 9,363.78 : x
  2. Step 2: Convert to fraction form
    30,140.34/45,209.91 = 9,363.78/x
  3. Step 3: Cross multiply
    30,140.34x = 45,209.91 × 9,363.78
  4. Step 4: Simplify right side
    30,140.34x = 423,335,651.06
  5. Step 5: Solve for x
    x = 423,335,651.06/30,140.34
  6. Step 6: Final answer
    x = 14,045.48

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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.