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Finding the Fourth Proportional to 84,072.12, 116,019.42 and 46,347

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Solution

The fourth proportional to 84,072.12, 116,019.42 and 46,347 is: 63,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072.12 : 116,019.42 = 46,347 : x
  2. Step 2: Convert to fraction form
    84,072.12/116,019.42 = 46,347/x
  3. Step 3: Cross multiply
    84,072.12x = 116,019.42 × 46,347
  4. Step 4: Simplify right side
    84,072.12x = 5,377,152,058.74
  5. Step 5: Solve for x
    x = 5,377,152,058.74/84,072.12
  6. Step 6: Final answer
    x = 63,958.80

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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.