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Finding the Fourth Proportional to 84,216, 116,216.64 and 46,489.44

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Solution

The fourth proportional to 84,216, 116,216.64 and 46,489.44 is: 64,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,216 : 116,216.64 = 46,489.44 : x
  2. Step 2: Convert to fraction form
    84,216/116,216.64 = 46,489.44/x
  3. Step 3: Cross multiply
    84,216x = 116,216.64 × 46,489.44
  4. Step 4: Simplify right side
    84,216x = 5,402,846,512.28
  5. Step 5: Solve for x
    x = 5,402,846,512.28/84,216
  6. Step 6: Final answer
    x = 64,154.63

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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.