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Finding the Fourth Proportional to 72,902.53, 109,353.80 and 17,498.53

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Solution

The fourth proportional to 72,902.53, 109,353.80 and 17,498.53 is: 26,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.53 : 109,353.80 = 17,498.53 : x
  2. Step 2: Convert to fraction form
    72,902.53/109,353.80 = 17,498.53/x
  3. Step 3: Cross multiply
    72,902.53x = 109,353.80 × 17,498.53
  4. Step 4: Simplify right side
    72,902.53x = 1,913,530,831.92
  5. Step 5: Solve for x
    x = 1,913,530,831.92/72,902.53
  6. Step 6: Final answer
    x = 26,247.80

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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.