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Finding the Fourth Proportional to 83,738.34, 115,558.74 and 46,012.50

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Solution

The fourth proportional to 83,738.34, 115,558.74 and 46,012.50 is: 63,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,738.34 : 115,558.74 = 46,012.50 : x
  2. Step 2: Convert to fraction form
    83,738.34/115,558.74 = 46,012.50/x
  3. Step 3: Cross multiply
    83,738.34x = 115,558.74 × 46,012.50
  4. Step 4: Simplify right side
    83,738.34x = 5,317,146,524.25
  5. Step 5: Solve for x
    x = 5,317,146,524.25/83,738.34
  6. Step 6: Final answer
    x = 63,497.16

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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.