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Finding the Fourth Proportional to 84,659.64, 116,831.64 and 46,422.68

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Solution

The fourth proportional to 84,659.64, 116,831.64 and 46,422.68 is: 64,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,659.64 : 116,831.64 = 46,422.68 : x
  2. Step 2: Convert to fraction form
    84,659.64/116,831.64 = 46,422.68/x
  3. Step 3: Cross multiply
    84,659.64x = 116,831.64 × 46,422.68
  4. Step 4: Simplify right side
    84,659.64x = 5,423,637,837.60
  5. Step 5: Solve for x
    x = 5,423,637,837.60/84,659.64
  6. Step 6: Final answer
    x = 64,064.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.