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Finding the Fourth Proportional to 72,262.86, 108,295.80 and 34,820.20

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Solution

The fourth proportional to 72,262.86, 108,295.80 and 34,820.20 is: 52,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,262.86 : 108,295.80 = 34,820.20 : x
  2. Step 2: Convert to fraction form
    72,262.86/108,295.80 = 34,820.20/x
  3. Step 3: Cross multiply
    72,262.86x = 108,295.80 × 34,820.20
  4. Step 4: Simplify right side
    72,262.86x = 3,770,881,415.16
  5. Step 5: Solve for x
    x = 3,770,881,415.16/72,262.86
  6. Step 6: Final answer
    x = 52,182.84

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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.