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Finding the Fourth Proportional to 84,308.02, 116,344.83 and 46,582

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Solution

The fourth proportional to 84,308.02, 116,344.83 and 46,582 is: 64,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,308.02 : 116,344.83 = 46,582 : x
  2. Step 2: Convert to fraction form
    84,308.02/116,344.83 = 46,582/x
  3. Step 3: Cross multiply
    84,308.02x = 116,344.83 × 46,582
  4. Step 4: Simplify right side
    84,308.02x = 5,419,574,871.06
  5. Step 5: Solve for x
    x = 5,419,574,871.06/84,308.02
  6. Step 6: Final answer
    x = 64,283.03

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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.