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Finding the Fourth Proportional to 84,261.72, 116,275.32 and 46,533

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Solution

The fourth proportional to 84,261.72, 116,275.32 and 46,533 is: 64,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,261.72 : 116,275.32 = 46,533 : x
  2. Step 2: Convert to fraction form
    84,261.72/116,275.32 = 46,533/x
  3. Step 3: Cross multiply
    84,261.72x = 116,275.32 × 46,533
  4. Step 4: Simplify right side
    84,261.72x = 5,410,639,465.56
  5. Step 5: Solve for x
    x = 5,410,639,465.56/84,261.72
  6. Step 6: Final answer
    x = 64,212.31

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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.