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Finding the Fourth Proportional to 71,021.08, 106,597.50 and 35,985.16

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Solution

The fourth proportional to 71,021.08, 106,597.50 and 35,985.16 is: 54,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,021.08 : 106,597.50 = 35,985.16 : x
  2. Step 2: Convert to fraction form
    71,021.08/106,597.50 = 35,985.16/x
  3. Step 3: Cross multiply
    71,021.08x = 106,597.50 × 35,985.16
  4. Step 4: Simplify right side
    71,021.08x = 3,835,928,093.10
  5. Step 5: Solve for x
    x = 3,835,928,093.10/71,021.08
  6. Step 6: Final answer
    x = 54,011.12

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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.