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Finding the Fourth Proportional to 81,574.86, 112,577.94 and 45,768

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Solution

The fourth proportional to 81,574.86, 112,577.94 and 45,768 is: 63,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,574.86 : 112,577.94 = 45,768 : x
  2. Step 2: Convert to fraction form
    81,574.86/112,577.94 = 45,768/x
  3. Step 3: Cross multiply
    81,574.86x = 112,577.94 × 45,768
  4. Step 4: Simplify right side
    81,574.86x = 5,152,467,157.92
  5. Step 5: Solve for x
    x = 5,152,467,157.92/81,574.86
  6. Step 6: Final answer
    x = 63,162.44

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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.