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Finding the Fourth Proportional to 84,378.47, 116,441.01 and 46,138.14

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Solution

The fourth proportional to 84,378.47, 116,441.01 and 46,138.14 is: 63,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,378.47 : 116,441.01 = 46,138.14 : x
  2. Step 2: Convert to fraction form
    84,378.47/116,441.01 = 46,138.14/x
  3. Step 3: Cross multiply
    84,378.47x = 116,441.01 × 46,138.14
  4. Step 4: Simplify right side
    84,378.47x = 5,372,371,621.12
  5. Step 5: Solve for x
    x = 5,372,371,621.12/84,378.47
  6. Step 6: Final answer
    x = 63,669.94

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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.