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Finding the Fourth Proportional to 83,533.96, 115,282.34 and 45,808.21

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Solution

The fourth proportional to 83,533.96, 115,282.34 and 45,808.21 is: 63,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.96 : 115,282.34 = 45,808.21 : x
  2. Step 2: Convert to fraction form
    83,533.96/115,282.34 = 45,808.21/x
  3. Step 3: Cross multiply
    83,533.96x = 115,282.34 × 45,808.21
  4. Step 4: Simplify right side
    83,533.96x = 5,280,877,640.01
  5. Step 5: Solve for x
    x = 5,280,877,640.01/83,533.96
  6. Step 6: Final answer
    x = 63,218.33

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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.