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Finding the Fourth Proportional to 83,561, 115,314.18 and 45,835.34

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Solution

The fourth proportional to 83,561, 115,314.18 and 45,835.34 is: 63,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,561 : 115,314.18 = 45,835.34 : x
  2. Step 2: Convert to fraction form
    83,561/115,314.18 = 45,835.34/x
  3. Step 3: Cross multiply
    83,561x = 115,314.18 × 45,835.34
  4. Step 4: Simplify right side
    83,561x = 5,285,464,647.12
  5. Step 5: Solve for x
    x = 5,285,464,647.12/83,561
  6. Step 6: Final answer
    x = 63,252.77

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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.