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Finding the Fourth Proportional to 84,536.84, 116,660.76 and 46,811

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Solution

The fourth proportional to 84,536.84, 116,660.76 and 46,811 is: 64,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,536.84 : 116,660.76 = 46,811 : x
  2. Step 2: Convert to fraction form
    84,536.84/116,660.76 = 46,811/x
  3. Step 3: Cross multiply
    84,536.84x = 116,660.76 × 46,811
  4. Step 4: Simplify right side
    84,536.84x = 5,461,006,836.36
  5. Step 5: Solve for x
    x = 5,461,006,836.36/84,536.84
  6. Step 6: Final answer
    x = 64,599.14

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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.