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Finding the Fourth Proportional to 83,669.64, 115,464.30 and 45,946.32

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Solution

The fourth proportional to 83,669.64, 115,464.30 and 45,946.32 is: 63,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,669.64 : 115,464.30 = 45,946.32 : x
  2. Step 2: Convert to fraction form
    83,669.64/115,464.30 = 45,946.32/x
  3. Step 3: Cross multiply
    83,669.64x = 115,464.30 × 45,946.32
  4. Step 4: Simplify right side
    83,669.64x = 5,305,159,676.38
  5. Step 5: Solve for x
    x = 5,305,159,676.38/83,669.64
  6. Step 6: Final answer
    x = 63,406.03

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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.