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Finding the Fourth Proportional to 116,254.82, 174,382.03 and 32,015.50

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Solution

The fourth proportional to 116,254.82, 174,382.03 and 32,015.50 is: 48,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254.82 : 174,382.03 = 32,015.50 : x
  2. Step 2: Convert to fraction form
    116,254.82/174,382.03 = 32,015.50/x
  3. Step 3: Cross multiply
    116,254.82x = 174,382.03 × 32,015.50
  4. Step 4: Simplify right side
    116,254.82x = 5,582,927,881.47
  5. Step 5: Solve for x
    x = 5,582,927,881.47/116,254.82
  6. Step 6: Final answer
    x = 48,023.19

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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.