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Finding the Fourth Proportional to 106,762.86, 160,162.92 and 47,597.22

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Solution

The fourth proportional to 106,762.86, 160,162.92 and 47,597.22 is: 71,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,762.86 : 160,162.92 = 47,597.22 : x
  2. Step 2: Convert to fraction form
    106,762.86/160,162.92 = 47,597.22/x
  3. Step 3: Cross multiply
    106,762.86x = 160,162.92 × 47,597.22
  4. Step 4: Simplify right side
    106,762.86x = 7,623,309,739.08
  5. Step 5: Solve for x
    x = 7,623,309,739.08/106,762.86
  6. Step 6: Final answer
    x = 71,404.14

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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.