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Finding the Fourth Proportional to 30,354.68, 45,539.34 and 9,578.12

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Solution

The fourth proportional to 30,354.68, 45,539.34 and 9,578.12 is: 14,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.68 : 45,539.34 = 9,578.12 : x
  2. Step 2: Convert to fraction form
    30,354.68/45,539.34 = 9,578.12/x
  3. Step 3: Cross multiply
    30,354.68x = 45,539.34 × 9,578.12
  4. Step 4: Simplify right side
    30,354.68x = 436,181,263.24
  5. Step 5: Solve for x
    x = 436,181,263.24/30,354.68
  6. Step 6: Final answer
    x = 14,369.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.