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Finding the Fourth Proportional to 84,676.64, 116,849.20 and 46,436

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Solution

The fourth proportional to 84,676.64, 116,849.20 and 46,436 is: 64,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,676.64 : 116,849.20 = 46,436 : x
  2. Step 2: Convert to fraction form
    84,676.64/116,849.20 = 46,436/x
  3. Step 3: Cross multiply
    84,676.64x = 116,849.20 × 46,436
  4. Step 4: Simplify right side
    84,676.64x = 5,426,009,451.20
  5. Step 5: Solve for x
    x = 5,426,009,451.20/84,676.64
  6. Step 6: Final answer
    x = 64,079.18

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