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Finding the Fourth Proportional to 71,877.40, 107,834.10 and 27,507.64

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Solution

The fourth proportional to 71,877.40, 107,834.10 and 27,507.64 is: 41,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.40 : 107,834.10 = 27,507.64 : x
  2. Step 2: Convert to fraction form
    71,877.40/107,834.10 = 27,507.64/x
  3. Step 3: Cross multiply
    71,877.40x = 107,834.10 × 27,507.64
  4. Step 4: Simplify right side
    71,877.40x = 2,966,261,602.52
  5. Step 5: Solve for x
    x = 2,966,261,602.52/71,877.40
  6. Step 6: Final answer
    x = 41,268.35

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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.