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Finding the Fourth Proportional to 72,230.64, 108,272.10 and 24,831.51

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Solution

The fourth proportional to 72,230.64, 108,272.10 and 24,831.51 is: 37,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,230.64 : 108,272.10 = 24,831.51 : x
  2. Step 2: Convert to fraction form
    72,230.64/108,272.10 = 24,831.51/x
  3. Step 3: Cross multiply
    72,230.64x = 108,272.10 × 24,831.51
  4. Step 4: Simplify right side
    72,230.64x = 2,688,559,733.87
  5. Step 5: Solve for x
    x = 2,688,559,733.87/72,230.64
  6. Step 6: Final answer
    x = 37,221.87

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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.