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Finding the Fourth Proportional to 84,349, 116,401.76 and 46,623.25

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Solution

The fourth proportional to 84,349, 116,401.76 and 46,623.25 is: 64,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,349 : 116,401.76 = 46,623.25 : x
  2. Step 2: Convert to fraction form
    84,349/116,401.76 = 46,623.25/x
  3. Step 3: Cross multiply
    84,349x = 116,401.76 × 46,623.25
  4. Step 4: Simplify right side
    84,349x = 5,427,028,356.92
  5. Step 5: Solve for x
    x = 5,427,028,356.92/84,349
  6. Step 6: Final answer
    x = 64,340.16

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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.