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Finding the Fourth Proportional to 84,575.90, 116,709.73 and 46,327.80

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Solution

The fourth proportional to 84,575.90, 116,709.73 and 46,327.80 is: 63,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,575.90 : 116,709.73 = 46,327.80 : x
  2. Step 2: Convert to fraction form
    84,575.90/116,709.73 = 46,327.80/x
  3. Step 3: Cross multiply
    84,575.90x = 116,709.73 × 46,327.80
  4. Step 4: Simplify right side
    84,575.90x = 5,406,905,351.34
  5. Step 5: Solve for x
    x = 5,406,905,351.34/84,575.90
  6. Step 6: Final answer
    x = 63,929.62

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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.