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Finding the Fourth Proportional to 30,334.24, 45,501.12 and 9,274.24

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Solution

The fourth proportional to 30,334.24, 45,501.12 and 9,274.24 is: 13,911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,334.24 : 45,501.12 = 9,274.24 : x
  2. Step 2: Convert to fraction form
    30,334.24/45,501.12 = 9,274.24/x
  3. Step 3: Cross multiply
    30,334.24x = 45,501.12 × 9,274.24
  4. Step 4: Simplify right side
    30,334.24x = 421,988,307.15
  5. Step 5: Solve for x
    x = 421,988,307.15/30,334.24
  6. Step 6: Final answer
    x = 13,911.29

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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.