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Finding the Fourth Proportional to 27,829.04, 41,742.48 and 9,361.04

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Solution

The fourth proportional to 27,829.04, 41,742.48 and 9,361.04 is: 14,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.04 : 41,742.48 = 9,361.04 : x
  2. Step 2: Convert to fraction form
    27,829.04/41,742.48 = 9,361.04/x
  3. Step 3: Cross multiply
    27,829.04x = 41,742.48 × 9,361.04
  4. Step 4: Simplify right side
    27,829.04x = 390,753,024.98
  5. Step 5: Solve for x
    x = 390,753,024.98/27,829.04
  6. Step 6: Final answer
    x = 14,041.20

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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.