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Finding the Fourth Proportional to 71,035.72, 106,544.10 and 21,114.88

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Solution

The fourth proportional to 71,035.72, 106,544.10 and 21,114.88 is: 31,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,035.72 : 106,544.10 = 21,114.88 : x
  2. Step 2: Convert to fraction form
    71,035.72/106,544.10 = 21,114.88/x
  3. Step 3: Cross multiply
    71,035.72x = 106,544.10 × 21,114.88
  4. Step 4: Simplify right side
    71,035.72x = 2,249,665,886.21
  5. Step 5: Solve for x
    x = 2,249,665,886.21/71,035.72
  6. Step 6: Final answer
    x = 31,669.50

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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.