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Finding the Fourth Proportional to 84,546.38, 116,676.10 and 46,307.53

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Solution

The fourth proportional to 84,546.38, 116,676.10 and 46,307.53 is: 63,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,546.38 : 116,676.10 = 46,307.53 : x
  2. Step 2: Convert to fraction form
    84,546.38/116,676.10 = 46,307.53/x
  3. Step 3: Cross multiply
    84,546.38x = 116,676.10 × 46,307.53
  4. Step 4: Simplify right side
    84,546.38x = 5,402,982,204.76
  5. Step 5: Solve for x
    x = 5,402,982,204.76/84,546.38
  6. Step 6: Final answer
    x = 63,905.54

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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.