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Finding the Fourth Proportional to 64,120.64, 96,200.40 and 30,831.26

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Solution

The fourth proportional to 64,120.64, 96,200.40 and 30,831.26 is: 46,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,120.64 : 96,200.40 = 30,831.26 : x
  2. Step 2: Convert to fraction form
    64,120.64/96,200.40 = 30,831.26/x
  3. Step 3: Cross multiply
    64,120.64x = 96,200.40 × 30,831.26
  4. Step 4: Simplify right side
    64,120.64x = 2,965,979,544.50
  5. Step 5: Solve for x
    x = 2,965,979,544.50/64,120.64
  6. Step 6: Final answer
    x = 46,256.24

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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.