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Finding the Fourth Proportional to 43,509, 65,278.14 and 18,548.04

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Solution

The fourth proportional to 43,509, 65,278.14 and 18,548.04 is: 27,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509 : 65,278.14 = 18,548.04 : x
  2. Step 2: Convert to fraction form
    43,509/65,278.14 = 18,548.04/x
  3. Step 3: Cross multiply
    43,509x = 65,278.14 × 18,548.04
  4. Step 4: Simplify right side
    43,509x = 1,210,781,551.85
  5. Step 5: Solve for x
    x = 1,210,781,551.85/43,509
  6. Step 6: Final answer
    x = 27,828.30

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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.