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Finding the Fourth Proportional to 84,478, 116,577.84 and 46,237.54

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Solution

The fourth proportional to 84,478, 116,577.84 and 46,237.54 is: 63,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,478 : 116,577.84 = 46,237.54 : x
  2. Step 2: Convert to fraction form
    84,478/116,577.84 = 46,237.54/x
  3. Step 3: Cross multiply
    84,478x = 116,577.84 × 46,237.54
  4. Step 4: Simplify right side
    84,478x = 5,390,272,540.11
  5. Step 5: Solve for x
    x = 5,390,272,540.11/84,478
  6. Step 6: Final answer
    x = 63,806.82

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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.