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Finding the Fourth Proportional to 84,356.18, 116,406.96 and 46,628

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Solution

The fourth proportional to 84,356.18, 116,406.96 and 46,628 is: 64,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,356.18 : 116,406.96 = 46,628 : x
  2. Step 2: Convert to fraction form
    84,356.18/116,406.96 = 46,628/x
  3. Step 3: Cross multiply
    84,356.18x = 116,406.96 × 46,628
  4. Step 4: Simplify right side
    84,356.18x = 5,427,823,730.88
  5. Step 5: Solve for x
    x = 5,427,823,730.88/84,356.18
  6. Step 6: Final answer
    x = 64,344.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.