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Finding the Fourth Proportional to 106,871.64, 160,344.30 and 47,748.12

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Solution

The fourth proportional to 106,871.64, 160,344.30 and 47,748.12 is: 71,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871.64 : 160,344.30 = 47,748.12 : x
  2. Step 2: Convert to fraction form
    106,871.64/160,344.30 = 47,748.12/x
  3. Step 3: Cross multiply
    106,871.64x = 160,344.30 × 47,748.12
  4. Step 4: Simplify right side
    106,871.64x = 7,656,138,877.72
  5. Step 5: Solve for x
    x = 7,656,138,877.72/106,871.64
  6. Step 6: Final answer
    x = 71,638.64

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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.