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Finding the Fourth Proportional to 29,967.04, 44,949.48 and 9,190

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Solution

The fourth proportional to 29,967.04, 44,949.48 and 9,190 is: 13,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,967.04 : 44,949.48 = 9,190 : x
  2. Step 2: Convert to fraction form
    29,967.04/44,949.48 = 9,190/x
  3. Step 3: Cross multiply
    29,967.04x = 44,949.48 × 9,190
  4. Step 4: Simplify right side
    29,967.04x = 413,085,721.20
  5. Step 5: Solve for x
    x = 413,085,721.20/29,967.04
  6. Step 6: Final answer
    x = 13,784.67

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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.