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Finding the Fourth Proportional to 72,754.06, 109,150.08 and 22,835.74

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Solution

The fourth proportional to 72,754.06, 109,150.08 and 22,835.74 is: 34,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,754.06 : 109,150.08 = 22,835.74 : x
  2. Step 2: Convert to fraction form
    72,754.06/109,150.08 = 22,835.74/x
  3. Step 3: Cross multiply
    72,754.06x = 109,150.08 × 22,835.74
  4. Step 4: Simplify right side
    72,754.06x = 2,492,522,847.86
  5. Step 5: Solve for x
    x = 2,492,522,847.86/72,754.06
  6. Step 6: Final answer
    x = 34,259.57

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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.