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Finding the Fourth Proportional to 84,373.02, 116,434.26 and 46,647

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Solution

The fourth proportional to 84,373.02, 116,434.26 and 46,647 is: 64,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,373.02 : 116,434.26 = 46,647 : x
  2. Step 2: Convert to fraction form
    84,373.02/116,434.26 = 46,647/x
  3. Step 3: Cross multiply
    84,373.02x = 116,434.26 × 46,647
  4. Step 4: Simplify right side
    84,373.02x = 5,431,308,926.22
  5. Step 5: Solve for x
    x = 5,431,308,926.22/84,373.02
  6. Step 6: Final answer
    x = 64,372.58

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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.