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Finding the Fourth Proportional to 85,809.75, 118,417.45 and 47,569.20

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Solution

The fourth proportional to 85,809.75, 118,417.45 and 47,569.20 is: 65,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,809.75 : 118,417.45 = 47,569.20 : x
  2. Step 2: Convert to fraction form
    85,809.75/118,417.45 = 47,569.20/x
  3. Step 3: Cross multiply
    85,809.75x = 118,417.45 × 47,569.20
  4. Step 4: Simplify right side
    85,809.75x = 5,633,023,362.54
  5. Step 5: Solve for x
    x = 5,633,023,362.54/85,809.75
  6. Step 6: Final answer
    x = 65,645.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.