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Finding the Fourth Proportional to 59,536.32, 82,157.44 and 32,678.16

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Solution

The fourth proportional to 59,536.32, 82,157.44 and 32,678.16 is: 45,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,536.32 : 82,157.44 = 32,678.16 : x
  2. Step 2: Convert to fraction form
    59,536.32/82,157.44 = 32,678.16/x
  3. Step 3: Cross multiply
    59,536.32x = 82,157.44 × 32,678.16
  4. Step 4: Simplify right side
    59,536.32x = 2,684,753,969.51
  5. Step 5: Solve for x
    x = 2,684,753,969.51/59,536.32
  6. Step 6: Final answer
    x = 45,094.39

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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.