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Finding the Fourth Proportional to 84,541.18, 116,662.16 and 46,813

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Solution

The fourth proportional to 84,541.18, 116,662.16 and 46,813 is: 64,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,541.18 : 116,662.16 = 46,813 : x
  2. Step 2: Convert to fraction form
    84,541.18/116,662.16 = 46,813/x
  3. Step 3: Cross multiply
    84,541.18x = 116,662.16 × 46,813
  4. Step 4: Simplify right side
    84,541.18x = 5,461,305,696.08
  5. Step 5: Solve for x
    x = 5,461,305,696.08/84,541.18
  6. Step 6: Final answer
    x = 64,599.35

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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.