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Finding the Fourth Proportional to 83,775.30, 115,606.35 and 46,049.46

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Solution

The fourth proportional to 83,775.30, 115,606.35 and 46,049.46 is: 63,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,775.30 : 115,606.35 = 46,049.46 : x
  2. Step 2: Convert to fraction form
    83,775.30/115,606.35 = 46,049.46/x
  3. Step 3: Cross multiply
    83,775.30x = 115,606.35 × 46,049.46
  4. Step 4: Simplify right side
    83,775.30x = 5,323,609,990.07
  5. Step 5: Solve for x
    x = 5,323,609,990.07/83,775.30
  6. Step 6: Final answer
    x = 63,546.30

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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.