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Finding the Fourth Proportional to 86,595.82, 129,901.08 and 30,431.06

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Solution

The fourth proportional to 86,595.82, 129,901.08 and 30,431.06 is: 45,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,595.82 : 129,901.08 = 30,431.06 : x
  2. Step 2: Convert to fraction form
    86,595.82/129,901.08 = 30,431.06/x
  3. Step 3: Cross multiply
    86,595.82x = 129,901.08 × 30,431.06
  4. Step 4: Simplify right side
    86,595.82x = 3,953,027,559.54
  5. Step 5: Solve for x
    x = 3,953,027,559.54/86,595.82
  6. Step 6: Final answer
    x = 45,649.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.