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Finding the Fourth Proportional to 83,886.45, 115,765.28 and 47,590.34

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Solution

The fourth proportional to 83,886.45, 115,765.28 and 47,590.34 is: 65,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886.45 : 115,765.28 = 47,590.34 : x
  2. Step 2: Convert to fraction form
    83,886.45/115,765.28 = 47,590.34/x
  3. Step 3: Cross multiply
    83,886.45x = 115,765.28 × 47,590.34
  4. Step 4: Simplify right side
    83,886.45x = 5,509,308,995.81
  5. Step 5: Solve for x
    x = 5,509,308,995.81/83,886.45
  6. Step 6: Final answer
    x = 65,675.79

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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.