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Finding the Fourth Proportional to 83,772, 115,605.54 and 46,046.52

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Solution

The fourth proportional to 83,772, 115,605.54 and 46,046.52 is: 63,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,772 : 115,605.54 = 46,046.52 : x
  2. Step 2: Convert to fraction form
    83,772/115,605.54 = 46,046.52/x
  3. Step 3: Cross multiply
    83,772x = 115,605.54 × 46,046.52
  4. Step 4: Simplify right side
    83,772x = 5,323,232,809.72
  5. Step 5: Solve for x
    x = 5,323,232,809.72/83,772
  6. Step 6: Final answer
    x = 63,544.30

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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.