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Finding the Fourth Proportional to 116,964, 175,464.23 and 38,059.61

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Solution

The fourth proportional to 116,964, 175,464.23 and 38,059.61 is: 57,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,964 : 175,464.23 = 38,059.61 : x
  2. Step 2: Convert to fraction form
    116,964/175,464.23 = 38,059.61/x
  3. Step 3: Cross multiply
    116,964x = 175,464.23 × 38,059.61
  4. Step 4: Simplify right side
    116,964x = 6,678,099,095.13
  5. Step 5: Solve for x
    x = 6,678,099,095.13/116,964
  6. Step 6: Final answer
    x = 57,095.34

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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.