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Finding the Fourth Proportional to 81,589.32, 112,574.07 and 47,577.42

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Solution

The fourth proportional to 81,589.32, 112,574.07 and 47,577.42 is: 65,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,589.32 : 112,574.07 = 47,577.42 : x
  2. Step 2: Convert to fraction form
    81,589.32/112,574.07 = 47,577.42/x
  3. Step 3: Cross multiply
    81,589.32x = 112,574.07 × 47,577.42
  4. Step 4: Simplify right side
    81,589.32x = 5,355,983,809.50
  5. Step 5: Solve for x
    x = 5,355,983,809.50/81,589.32
  6. Step 6: Final answer
    x = 65,645.65

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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.